42-2-403. Arrearages of child support -- responsibility to child. (1) A voluntary relinquishment of a parent's rights and responsibilities toward a child does not cancel any responsibility to pay arrearages of child support unless the party to whom the arrearages are owed agrees in writing to waive the payment of the arrearages.

(2) A parent who executes a voluntary relinquishment of rights and responsibilities toward a child remains financially responsible for the child until a court actually terminates parental rights to the child.