Chandi,
I have been in and out of the California Family court system for several years now. And I want you to know. What everyone on her has said is true. However, if the biological father does not take you to court for contempt charges then you have nothing to worry about. And if the biological father is willing to sign over his rights it shows that he really has no interest in being a father and you can go ahead with the adoption. The adoption can be started where ever it is that you and the child have residence. I wish you lots of luck and a lot less drama.