(a) No marriage license may be issued to any applicant under the supervision or control of a conservator, appointed in accordance with sections 45a-644 to 45a-662 , inclusive, unless the written consent of the conservator, signed and acknowledged before a person authorized to take acknowledgments of conveyances under the provisions of section 47-5a , or authorized to take acknowledgments in any other state or country, is filed with the registrar.
(b) Any person married without the consent provided for in subsection (a) of this section shall acquire no rights by such marriage in the property of any person who was under such control or supervision at the time of the marriage.