This is a workmen’s compensation case in which two women and five children, separately, sought the benefits of the Workmen’s Compensation Act. Their claims arose out of the death of Ronnie Shahan (Ronnie) on October 24, 1976.
Glenda Shahan (Glenda) was married to Ronnie on July 16, 1971 and had two minor children fathered by Ronnie. On August 25. 1976 Glenda and Ronnie obtained a Decree of Divorce in the District Court of Pottawatomie County, State of Oklahoma. The Decree ordered Ronnie to pay Glenda $200.00 per month for child support, and “that neither party shall marry any person other than each other for a period of six months from the date of this judgment.” After Ronnie’s death, Glenda had her divorce invalidated; and claimed compensation as a widow at the time of trial.
Sandra Shahan (Sandra) and Ronnie were married September 11. 1976 in Farmington, New Mexico, 17 days after Ronnie’s divorce from Glenda. Sandra had three minor children born of previous marriages who were stepchildren of Ronnie. On October 24. 1976. six weeks after Sandra and Ronnie were married, Ronnie was killed while working within the scope of his employment.
On November 19, 1976, Sandra, on behalf of herself and her children, filed a claim for workmen’s compensation. On the morning of the hearing, May 6,1977, Glenda and her attorneys appeared and announced that they had two complaints to file for workmen’s compensation — one for her two children, and one for herself as the widow of Ronnie. Though Sandra objected, nonetheless she desired to proceed with the hearing and the trial court allowed Glenda’s complaints to be filed.
This was an unusual procedure. However, it was a reasonable exercise of discretion on the part of the trial court to resolve in one hearing all of the issues raised in three complaints. Sandra and her children were plaintiffs, while in effect, Glenda and her children were defendants. Beasley and Reliance, the actual defendants, did not contest the proceedings in the trial court or on appeal.
Following the filing of Glenda’s complaints, the issues became whether Glenda was a dependent widow and whether Glenda’s children were dependent children entitled to compensation. The trial court found that Glenda and Ronnie were divorced on August 25, 1976; that at the time of his death Ronnie was married to and had been living with Sandra; and that Sandra was Ronnie’s widow. In addition, all five children were found to be dependents of the deceased.
Glenda failed to challenge any of the findings made by the trial court. As a result, “the trial court’s findings are conclusive on appeal.” American General Companies v. Jaramillo, 88 N.M. 182, 538 P.2d 1204 (Ct.App.1975).
*464Glenda appeals on behalf of her children. She abandoned the claim as a dependent widow. We affirm.
A. Section 59-10-12.10(A) and (B) is constitutional.
Glenda’s sole contention on appeal is that § 59-10-12.10(A) and (B), N.M.S.A.1953 (2d Repl. Vol. 9, pt. 1) is unconstitutional. We disagree.
Section 59-10-12.10(A) and (B) reads as follows:
As used in the Workmen’s Compensation Act, unless the context otherwise requires, the following persons, and they only, shall be deemed dependents and entitled to compensation under the provisions of - the Workmen’s Compensation Act:
A. A child under eighteen  years of age or incapable of self-support and unmarried.
B. The widow or widower, only if living with the deceased at the time of his death, or legally entitled to be supported by him, including a divorced spouse entitled to alimony. [Emphasis added.]
* # * * * *
The relation of dependency must exist at the time of the injury.
The word “child” is defined in § 59-10-12.11. It reads in pertinent part, as follows:
Child. — As used in the Workmen’s Compensation Act, unless the context otherwise requires, “child” includes stepchildren, adopted children, posthumous children and acknowledged illegitimate children, but does not include married children unless dependent. [Emphasis added.]
Glenda’s argument is that actual dependency must be the determining factor in an award of workmen’s compensation benefits and that only those who are actually dependent are members of the class entitled to workmen’s compensation benefits. She contends that, in the absence of actual dependency, § 59-10-12.10(A) and (B) is unconstitutional because it discriminates unfairly between the classes of dependents. Glenda concludes that because she and her children were actually dependent upon Ronnie they are entitled to all the compensation benefits, whereas Sandra and her children who were not actually dependent are not entitled to compensation.
The trial court made findings of fact which support Glenda’s claim of actual dependency. Glenda acknowledges that before § 59-10-12.10 was amended, actual dependency was the prerequisite to recovery. Today, under the revised statute, actual dependency is not a prerequisite as far as a spouse and minor children are concerned; Sandra, her children, and Glenda’s children are dependents as a matter of law.
The legislature created two classes of dependents. (1) All children, as defined in § 59-10-12, constitute one class of dependents. Both natural and stepchildren are members of this class and must share equally in compensation awards. (2) The second class is composed of the widow or widower who was either living with a deceased spouse at the time of his or her death or was legally entitled to support.
Glenda argues that § 59-10-12.10 still indicates that a “relation of dependency must exist at the time of the injury,” i. e., that it is a question of fact whether the dependent actually relied on support from the deceased. No reasons are given why this must be a question of fact. “The relation of dependency” simply means the character of the relationship that the family has to the deceased, set forth with particularity in § 59-10-12.10. On the relation of dependency as a legal relationship rather than a factual one, see Kau v. Bennett, 91 N.M. 162, 571 P.2d 819 (Ct.App.1977).
Relying on Article II, Section 18 and Article IV, Section 24 of the New Mexico Constitution, Glenda argues that the most compelling reason to reverse the judgment below is due to the inequitable classification of dependents; that her children were deprived of their equitable portion of the award through the award to Sandra’s children who were not dependent on the deceased for support. These arguments are a “constitutional curiosity.”
*465Glenda relies on Weber v. Aetna Casualty & Surety Co., 406 U.S. 164, 92 S.Ct. 1400, 31 L.Ed.2d 768 (1972). This ease does not support Glenda’s position. It involved the Louisiana Workmen’s Compensation Act in which legitimate children, stepchildren, posthumous children and “acknowledged illegitimate children” were included within the definition of “children” for purposes of recovery under the Workmen’s Compensation Act. The Supreme Court of Louisiana denied “unacknowledged illegitimate children ” the right to recover on an equal footing with other children fathered by the deceased, including “acknowledged illegitimate children.” The Supreme Court of the United States held that it was impermissible discrimination against “unacknowledged illegitimate children”; that an “unacknowledged illegitimate child” may suffer an much from the loss of a parent as a child born within wedlock or as an illegitimate child later acknowledged.
Impermissible discrimination was not based on “actual” dependency. It was impermissible because “unacknowledged illegitimate children” did not share equally with “acknowledged illegitimate children,” children within the same class.
Section 59-10-12.11, supra, that defines a child also includes “acknowledged illegitimate children.” We are not confronted with this problem, but the same principle of impermissible discrimination would apply if we denied compensation benefits to stepchildren.
Impermissible discrimination does not exist where natural children and stepchildren share equally in workmen’s compensation benefits. Section 59-10-12.10(A) and (B) is not unconstitutional.
On this portion of the opinion, this Court agrees. On the award of attorney fees for services rendered in this appeal, we disagree.
The trial court found the present value of Sandra’s award was $52,806.96, and awarded Sandra an attorney fee of $5,000.00. In addition, the trial court awarded Glenda an attorney fee of $2,000.00. Defendants were smitten with an award of $7,000.00 in a trial between Sandra and Glenda, uncontested by defendants. On appeal, Sandra’s award was not attacked. Glenda seeks only to deny Sandra’s children any award. The issue to decide is whether Sandra’s children and Glenda’s children are entitled to an attorney fee for services rendered in this appeal.
The opinion of the majority of this Court follows this discussion.
The author of this opinion believes that Sandra’s children (Sandra) and Glenda’s children (Glenda) are not entitled to an attorney fee for three reasons. (1) Section 59-10-23(D) does not give an appellate court the power to award an attorney fee for services rendered in an appeal; (2) If it does, no legal basis exists for allowing an attorney fee; and (3) If Sandra is entitled to an attorney fee, then Glenda is entitled to one. Both of these claims were affirmed on appeal.
(1) Section 59-10-23(D) does not allow an attorney fee in an appeal.
Sandra contends that she is entitled to an attorney fee in this appeal because she was forced to have an attorney represent her in a civil war with Glenda; that Glenda attacked her award and she had to defend herself to protect this award.
Section 59-10-23(D) provides, in substance, that when a claimant recovers compensation in the trial court, “. . , then the compensation to be paid the attorney for the claimant shall be fixed by the court trying the same or the Supreme Court upon appeal in such amount as the court may deem reasonable and proper . . .” [Emphasis added.]
This statute is clear and unambiguous. It states that the trial court “or” the Supreme Court on appeal shall fix an attorney fee for services rendered a workman in a successful trial of a case. It does not grant statutory authority for the Supreme Court or the Court of Appeals to award an attorney fee for services rendered a workman in an appeal of the case. It is established law that in the absence of statutory authority, *466this Court does not have inherent power to allow an attorney fee for services rendered in an appeal. New Mexico State Highway Department v. Bible, 38 N.M. 372, 34 P.2d 295 (1934) (on rehearing).
A history of this statute established that § 59-10-23(D) did not give statutory authority for an appellate court to award an attorney fee for services rendered in an appeal.
Under the original section adopted in 1929, the language read:
then the compensation to be paid the attorney for the claimant may be increased at the discretion of the court trying the same . . . [Laws 1929, ch. 113, § 22, p. 231.] [C.S.1929, § 156-122.]
Under this language, the power to increase attorney fees rested only in the trial court. Bible, supra.
In 1937, the words “or the Supreme Court upon appeal” were inserted in § 22 of the 1929 Act. Laws 1937, ch. 92, § 11, p. 250.
This additional language caused the section to read:
then the compensation to be paid the attorney for the claimant may be increased at the discretion of the court trying the same, or the Supreme Court upon appeal .... [Emphasis added.]
The purpose of this amendment was to grant either the trial court or the Supreme Court statutory power to increase the amount of the attorney fee for services rendered at trial. From 1937 to 1955, the Supreme Court, when the circumstances warranted it, awarded additional fees on appeal to successful claimants. Perhaps the court interpreted § 11 to mean that an award of an attorney fee on appeal is an increase of the fee allowed by the trial court.
In 1955, the legislature amended § 11 of the 1937 Act and substituted the language set forth in § 59-10-23(D). The issue of an increased award at the direction of the trial court “or the Supreme Court upon appeal” was deleted, and instead the following was inserted:
then the compensation to be paid the attorney for the claimant shall be fixed by the court trying the same or the Supreme Court upon appeal in such amount as the court may deem reasonable and proper .... [Emphasis added.]
This amended language removed the former statutory power which previously had permitted an appellate court to increase the award of an attorney fee. Now, an attorney fee awarded the successful claimant below “shall be fixed [either] by the court trying the same or the Supreme Court upon appeal.” No provision is made for an additional fee on appeal.
To grant an appellate court statutory authority to award a claimant an additional attorney fee on appeal, the statute must read in comparable language:
then the compensation to be paid the attorney for claimant shall be fixed by the court trying the same in such amount as the court may deem reasonable and proper. On appeal, compensation to be paid the attorney for claimant for services rendered shall be fixed by the Supreme Court.
My brethren hold that the use of the word “or” was merely a matter of legislative imprecision, and that the word “or” shall be changed to read “and.” The trouble with the word “or” has been with courts for a long time. See “OR,” Words and Phrases, 53-138 (1972).
“ ‘Or’ obviously is a disjunctive particle and means one or the other of two propositions; never both.” Bensalem Tp. Sch. Dist. v. County Com’rs of Bucks Cty., 8 Pa.Cmwlth. 411, 303 A.2d 258 (1973). In Petition of First National Bank v. Bernalillo County Evaluation Protest Board, 90 N.M. 110, 560 P.2d 174 (Ct.App.1977), we said that the word “or” was an alternative expression of “either one or another”; that its ordinary meaning should be followed unless it renders the statute doubtful or uncertain. We held that the statutory language involved was clear and unambiguous. *467A statute that uses the word “or” or “and must be given effect according to its terms if the language therein is clear and unambiguous. We need not speculate on the intention of the legislature in its enactment. Board of Insurance Com’rs v. Guardian Life Ins. Co., 142 Tex. 630, 180 S.W.2d 906 (1944).
This rule of statutory construction applies where the statute allows attorney fees as costs “assessed against the employer by a single commissioner, by the full commission on appeal and by the supreme court on appeal consistent with the services rendered before each tribunal . .” [Emphasis added.] Capaldi v. Liberty Tool & Gage Works, Inc., 99 R.I. 236, 206 A.2d 639 (1965); Tirocchi v. United States Rubber Company, 102 R.I. 617, 232 A.2d 593 (1967).
This rule of statutory construction has long prevailed in New Mexico. Keller v. City of Albuquerque, 85 N.M. 134, 509 P.2d 1329 (1973). Section 59-10-23(D) is free from ambiguity. There is no room for construction. Our duty is to give this statute effect as it is written, because legislative intent is to be determined primarily from the language used. Keller, supra. We only search for legislative intent when we seek to interpret an ambiguous statute. State v. Clark, 80 N.M. 340, 455 P.2d 844 (1969).
Attorney fees on appeal are authorized if the employer refuses to pay compensation and the claimant thereafter collects compensation in the trial court.
No authority is cited for this conclusion. Neither is it found in the statute. See Alloy Surfaces Company v. Cicamore, 221 A.2d 480 (Del.1966), where the statute allows the Superior Court to award an attorney fee to a successful claimant for services rendered from the Superior Court to the Supreme Court.
The decision in Lauderdale was based on a finding of statutory authority and equitable principles. I cannot agree that the statute permitted such a result nor can I find that the facts of the instant case permit the equitable intervention of an award of an attorney fee.
Nevertheless, after 1955, without explanation or citation of authority, additional attorney fees have been awarded in the appellate courts as a matter of course. However, the Supreme Court has not, in any opinion, established the right of an appellate court to award an additional attorney fee on appeal.
Sandra is not entitled to an award of an attorney fee in this Court as a matter of law under the language of § 59-10-23(D).
(2) There is no legal basis for allowing an attorney fee on appeal.
A review of the record in the instant case shows that defendants, by answer to Sandra’s complaint, admitted all of the allegations except her status as a dependent widow. Sandra and defendants agreed on the statutory maximum amount of compensation payments. Twenty-seven weeks of compensation were paid through May 22, 1977. Defendants paid the $1,500.00 funeral expenses. The parties agreed that 573 weeks of compensation were due. Defendants did not contest the proceedings. The dispute was between Sandra and Glenda.
The hearing in the trial court was conducted in one-half day that consumed 37 pages of argument and testimony. No depositions were taken. Sandra filed memorandum briefs, but the briefs do not appear of record.
The award of $5,000.00 as an attorney fee to Sandra was about 10% of the present value of Sandra’s award. That amount is a substantial fee. It was not contested by defendants and defendants did not appeal from the judgment of the court.
On appeal, defendants are at a stand. They are in doubt as to further progress. They cannot support the position of Sandra or Glenda. They have no duty to defend Sandra’s compensation award or the judgment of the trial court. There is some doubt as to whether defendants were made parties to this appeal. They moved to have *468themselves dismissed as parties to this appeal. We decided to rule on this motion later, but we have not. No point of error raises any contention against them. The motion should be granted, and an additional attorney fee denied. Parson v. Parson, 387 S.W.2d 764 (Tex.Civ.App.1965).
In Lauderdale, the factual situation on appeal was complicated, complex and confounded. This Court, in the exercise of its discretion determined that it was fair and equitable to award attorney fees to the successful party on appeal. In the instant case, it is not.
To grant Sandra any relief against defendants would be unfair and inequitable. Defendants have already been required to pay more than generous attorney fees. They should not be required to pay more for the reason that Glenda was dissatisfied with the judgment below and appealed therefrom.
I would deny Sandra any attorney fee on this appeal, as well as any interest on her attorney fee allowed below, and not any interest on any accumulated compensation benefits that may be due, if any, from May 22, 1977.
(3) Glenda is not entitled to an attorney fee in this appeal.
During oral argument, Glenda also requested an additional attorney fee. I would deny it. But when this Court becomes so liberal in its interpretation of statutory law that it follows Lauderdale, then it is surprising to note that no consideration was given to Glenda’s claim for an attorney fee.