Allow same sex couples to both be on a birth certificate without being married

Because we didn't use a private clinic or the NHS and we weren't married at the time of conception my partner is unable to go on the birth certificate. She is now having to adopt our baby to get step parent rights instead of full parental rights, which is emotionally costly as well as financially. It now leaves our daughter's future uncertain should anything happen to me. In this day and age a birth certificate should state name of parents instead of gender specification.