You don't. He has his rights as well.
Paying child support will not cause the father to lose his parental rights - neither will not paying child support.
You can sign your rights away but you will still have to pay child support if you are the father or mother of the child. There is no way to avoid paying child support.
Relinquishing parental rights does not terminate support; however, generally, adoption does.
If he paying child support, or can prove to the court that a father/child relationship has been developed.
In Nebraska, a father can sign his parental rights away through the court. By signing his rights away, this does not negate him from paying child support.
Whatever the court documents give him. Not paying child support does not automatically remove any rights from him.
No, not in Georgia or anywhere else.
... have to [pay] child support - yes, until/unless the child is adopted.
Since losing them can include not paying support, it can only be done if an adoption is the intent.