I realize that if you've already gone through adoption processes you're probably very familiar with a lot of the system. I saw in your profile that you're in SLC. I'm not sure of the laws for Utah, but in CO you have to at least go through social services and do what they call a "kinship" adoption, which again, is a term you probably already know.
We were approached by a woman in GA who said she saw our profile on a foster/adoptive parent user's group and asked if she could contact us and speak with us about adopting her baby that she was about 4 months pregnant with. She stated that she herself didn't want to use an agency, but would be fine using a lawyer. We began researching state laws immediately, as well as where it would be better or safer for the child to be born, etc. as soon as she called back and told us "you're the family!" She called to let us know that she wanted money for assistance in moving some things out here (she didn't want people in her small town knowing she was pregnant), and she wanted to drive her truck with all of her stuff, so could we send her enough cash to cover gas and hotel for a few days for the trip out. I said we'd be more than happy to. I also, for some reason, said that we would like to either pay to fly her out to us or we would come to her for a couple days to meet in person and I wanted to attend a doctor's appointment with her, because I'd love to see that little heartbeat on the screen. What I meant, of course, was that I wanted to know there was really a child at all. She hung up and we never heard from her again. Maybe I offended her, maybe she was playing games. It's impossible to know.
Definitely get a lawyer involved as early as possible. It just protects everyone. There are firms and agencies out there that can help in these situation with free or reduced fees. Our good friends had a "playdate" dropped off at their house and the mother never came back for her. Ever. They used a pro bono service to help in their adoption of this awesome girl.
Whatever happens, good luck! When it all turns out well, consider me jealous!!! We're just beginning the foster to adopt program (should be licensed in June) so we're at the very start of the journey.