"Local registry" means a county agency or public entity operated under the authority of a district clerk, county government, juvenile board, juvenile probation office, domestic relations office, or other county agency or public entity that serves a county or a court that has jurisdiction under this title and that:
(1) receives child support payments;
(2) maintains records of child support payments;
(3) distributes child support payments as required by law; and
(4) maintains custody of official child support payment records.