File a Termination of Parental Rights petition in the appropriate state court in the city or county of residence. The court decides all such issues based on what is in the best interest of the child/children and not on the preference of parents or other interested parties. Generally TPR's are granted to allow a child to be eligible for adoption. The purpose of a TPR is not to allow a parent to escape their obligations to the minor children who are the unfortunate victims of irresponsible parents.
Basically, you can't do this. You cannot unilaterally relinquish your obligation to provide support for your child.
Parental rights and child support are two different issues. Signing over your parental rights has no effect on your payment obligation unless the ending of the payment obligation is mentioned on the document.
no the mother should have the legal obligation to take care of the child
No. Child support, visitation, custody etc are all separate issues. The court will see to what is best for the child and one parent can not deny the parental rights of the other.
In general, parental rights are terminated either preparatory to an adoption, or after a trial in which it is determined that the parent is unfit. In any case, termination of parental rights does not, in itself, terminate child support.
If you're in the US... You have no rights to have contact with the minor mother if her parents forbid it. You do have the right to petition the court for visitation with the child. Of course you also have the obligation of paying child support.
I don't see why the mother's marital status would be a barrier. However, keep in mind that signing over one's parental rights does not terminate a child support obligation.
The father if he is not also guilty of adultry
Yes i am almost positive 8>
mother has sole custody, father has child support obligation. see link
No, voluntarily relinquishing your parental rights does not excuse you from having to pay child support. However, you may be able to give the child up for adoption, in which case you would be relieved of your child support obligation.
A court can terminate parental rights but that would not necessarily terminate the parents responsibility to support the child.