I would assume that it is the same or almost the same in most states. You are going to have to get a lawyer and petition the courts. Or an attorney can draw up the papers and IF your child's father agrees and will sign the papers then you can do it that way, which is alot easier and cheaper.
I am in the same situation (almost) except that I am a grandmother with custody of the child and her father is in prison ( for the next 25 yrs) and the mother just didn't want to raise the child without a father.
I am trying to get enough money together to hire an attorney and petition the courts for both parents rights to be terminated.
Neither of them help in any way, and neither parent has anything to do with the child. I have had her since birth and I am the only mother she knows.