There is hereby created in each county of this state a council to be known as County Council of Public Assistance. Said council shall consist of five (5) members to be appointed as follows: one (1) member to be a county commissioner to be selected and appointed by the board of county commissioners of his county and to serve at the pleasure of the board of county commissioners, but under such appointment to serve only while he is a county commissioner; four (4) members of the council to be appointed by the governor, not more than two (2) of whom shall be members of the same political faith. The members appointed by the governor shall be for the following terms: one (1) member for one (1) year; one (1) for two (2) years; and two (2) for three (3) years. All appointments by the governor after the first board shall be for a term of three (3) years. Each member so appointed shall serve until his successor is appointed and qualifies and shall receive no compensation for his services. In the event of a vacancy, except as to the member appointed by the board of county commissioners, the same shall be filled by appointment of the governor, which appointee shall be of the same political faith as his predecessor. The appointment to fill a vacancy shall be for the unexpired term of his predecessor. The council shall organize by the election of a chairman and the county supervisor of public assistance shall be the secretary of said council.