The Authority shall be governed by a board of directors in which all powers of the Authority shall be vested. The Authority shall consist of members as follows:
1. One representative each appointed by the governing body of the City of Norton and the Counties of Buchanan, Dickenson, Lee, Russell, Scott, Tazewell, and Wise to serve terms of three years;
2. Four additional non-voting members appointed by a majority vote of the members appointed in subdivision 1 to serve terms of two years; and
3. Any additional non-voting members as determined by the board. Appointments to fill vacancies shall be for the unexpired terms. Any member may be reappointed. The directors shall elect from their membership a chairman and a vice-chairman. Each director shall, upon appointment or reappointment, before entering upon his duties take and subscribe the oath prescribed by § 49-1.