Supreme Court allows same-sex parents to be listed on Indiana birth certificates High court rejects Indiana AG Curtis Hill's challenge to appeals court decision in favor of lesbian couple 207SHARES U.S. Supreme Court – Credit: Davis Staedtler/flickr The U.S. Supreme Court has effectively upheld a lower court decision that allows both partners in a same-sex couples to be listed as their children’s parents on Indiana birth certificates. The high court refused to hear a lawsuit over the issue, in which a legally married lesbian couple, Ashlee and Ruby Henderson, sued after being blocked from being listed on their son’s birth certificate.