Does there have to be adoption of child if one parent is willing to sign rights away to the other?

My son is four and the father is willing to give up his rights. Do i have to have a man adopt him in order to take his parental rights if both parents are okay with him terminating his parental rights? In Oklahoma. Plz helpDoes there have to be adoption of child if one parent is willing to sign rights away to the other?
you need to talk to a lawyer, you hae it all screwed up.

revlon