Here is where I am coming from and I can't do all states, but I do know it has been done.
Relinquishment usually occurs as adoption plans are being made. However, relinquishment is sometimes sought where the likelihood of adoption is remote, as where the other parent does not want to relinquish his or her parental rights. If a proposed relinquishment of parental rights is not in contemplation of adoption, under §32A-5-24(C) the court may not allow the relinquishment unless it finds that:
Good cause exists;
CYFD has made reasonable efforts to preserve the family; and
Relinquishment is in the child's best interest.
A parent who relinquishes under this subsection remains financially responsible for the child and the court may order the parent to pay the reasonable costs of the child's support and may use the child support guidelines. §32A-5-24(C).