Women can adopt easier than men. I am curious, because this is in FL, did she disclaim she was a lesbian? That is a required question to answer for the adoption papers and she will be rejected if she answered honestly (only state in the union that would do that).
And it is a different issue if someone is adopting a child already inthe system vs. a custody dispute.
I don't know the full details. I know they used an adoption agency, and had to travel out of state to claim the child upon it's birth. Took them 4 tries as the previous 3 mothers all flaked out in one way or another. From my understanding, there was a bunch of cash thrown at the deal to make it work. She is a Doctor, after all.
No idea on claims, but since it was her and her partner flying to the locations to do it, I'm pretty sure disclosure was made.