An article from The Guardian tells the tale of two lesbian partners who went through a second parent adoption:
When Patricia Moreno was pregnant with her first child, she went through the usual existential doubts about how life as a new mother would be. Moreno, a life coach and fitness trainer from New York, had been trying to get pregnant for well over a year. She had been through multiple rounds of IVF and suffered a miscarriage. When she did get pregnant, in December 2009, she and her partner, Kellen Mori, were over the moon, and then they started thinking.
The couple’s marriage was not valid outside the US or in many of the more conservative states; the baby, conceived by IVF using Mori’s eggs and donor sperm, would not be recognised federally as belonging to both of them. (Moreno, giving birth, would be recognised as the biological mother. Mori, who had provided the eggs, would have no automatic universal rights.) “I’m not the mum, but I am the mum,” thought Moreno and wondered idly who the baby would identify with more. As well as a good obstetrician, she and her wife of three years would be needing a lawyer.