Conn. Gen. Stat. § 7-16a: Notice to Secretary of the State of appointment of town clerk, vacancy in appointed office of town clerk.

If a town clerk is appointed under a special law or a town charter, the appointing authority or, if none, the chief executive official of the town, shall, within ten days after such an appointment is made, file a notice of such appointment with the Secretary of the State, indicating the name and address of the person appointed, the date and method of such appointment and the law under which the appointment was made. Within ten days after a vacancy occurs in the appointed office of town clerk, the first selectman or chief executive official of the town shall notify the Secretary of the State of such vacancy.