Typically yes, but that may vary state to state.
In the state of Illinois, a biological father cannot give up his rights to the mother, but he can sign over his rights to another male. For example, a step father
No.No.No.No.
No, see link.
Custody, not parental rights.
The mother can, but not the father. see links below
yes the father has more rights to his child when the mother let another man sign. If the father should or want to he could fill out paper work on the mother and get her right.
Typically, a parent gives up her rights preparatory to an adoption.
No, mothers have 100% control. Only a mother can give up her rights with interference.
She can terminate her parental rights, not yours.
He can always ask, but it will need an attorney involved.
No, a father cannot simply sign his rights over. There has to be extreme circumstances for a father to be granted his rights terminated.
A child's biological father can have his name added to a child's birth certificate regardless of whether or not the mother agrees to it. If the biological father voluntarily relinquishes his parental rights and the child is legally adopted by another man, his name can be added to the birth certificate in place of the biological father.