Va. Code Ann. § 42.1-38

Two or more political subdivisions (counties or cities) which have qualified for participation in the state's regional library program, have been recognized as a region by the State Library Board, and have made the minimum local appropriation of funds as may now or hereafter be recommended by the Board, are hereby empowered and authorized to execute contracts with each other to create a regional library board to administer and control the regional library services within the region. Each jurisdiction shall, as a part of such contract, have the power to appoint at least one member to the regional library board.