(a) The common council of every city and the commissioners of every incorporated town in the State, except in the City of Wilmington, shall appoint in January of each year, a local board of health for such city or town to consist of not less than 3 nor more than 7 persons of whom at least 1 should be a physician duly authorized to practice medicine and who shall hold office until their successors are appointed. In case there be a port physician appointed by the Governor, the port physician shall be a member of the local board ex officio.
(b) In case the common council or the commissioners are unsuccessful in securing persons to act on the local board, then the common council or the commissioners are and shall be the local board of health for such city or town and shall perform all duties and offices the local board should perform, and be subject to all laws applicable to local boards of health.
(c) All vacancies occurring in any local board by death or otherwise shall be filled by the city council or town commissioners as the case may be. The same authorities may remove for sufficient cause any member of the local board in their respective jurisdictions.