Arkansas' highest court on Thursday threw out a judge's ruling that could have allowed all married same-sex couples to get the names of both spouses on their children's birth certificates without a court order, saying it doesn't violate equal protection "to acknowledge basic biological truths."

The state Supreme Court also issued a rare admonishment to Pulaski County Circuit Judge Tim Fox, saying he made "inappropriate remarks" in his ruling that struck down the birth certificate law. Fox had cited the U.S. Supreme Court's decision legalizing gay marriage in his ruling last year that said married same-sex couples should have both names listed on their children's birth certificates, just as heterosexual married couples do, without requiring a court order.

In the state Supreme Court's decision Thursday, the justices sided with the state attorney general's office, saying Arkansas has a vested interest in listing biological parents on birth certificates.

"What is before this court is a narrow issue of whether the birth-certificate statutes as written deny the appellees due process," Justice Josephine Linker Hart wrote in the court's majority opinion. "...In the situation involving the female spouse of a biological mother, the female spouse does not have the same biological nexus to the child that the biological mother or the biological father has. It does not violate equal protection to acknowledge basic biological truths."

Cheryl Maples, who sued on behalf of three same-sex couples, said she hasn't decided yet whether to appeal to the U.S. Supreme Court. The three couples who sued were allowed to amend their children's birth certificates last year under a ruling issued by Fox.