(a) The vital statistics unit shall establish and maintain a mutual consent voluntary adoption registry.
(b) Except as provided by Subsection (c), an agency authorized by the department to place children for adoption and an association comprised exclusively of those agencies may establish a mutual consent voluntary adoption registry. An agency may contract with any other agency authorized by the department to place children for adoption or with an association comprised exclusively of those agencies to perform registry services on its behalf.

(c) An authorized agency that did not directly or by contract provide registry services as required by this subchapter on January 1, 1984, may not provide its own registry service. The vital statistics unit shall operate through the central registry those services for agencies not permitted to provide a registry under this section.