COLUMBIA, S.C. (AP) — The U.S. Supreme Court could reshape longstanding federal law on the adoption of Native American children, depending on how the justices rule in the case of a South Carolina family fighting for custody of their adopted daughter.

That law is at the center of the appeal by Matt and Melanie Capobianco, a Charleston-area couple who adopted a baby girl several years ago. But the girl’s biological father — a member of the Cherokee Nation whom she had never met — later went to court seeking custody, arguing that the girl’s mother gave her up without his consent.