Va. Code Ann. § 19.2-6

Unless otherwise specifically provided, whenever an appointive power is given to the judge of a circuit court, that power shall be exercised by a majority of the judges of the circuit. In case of a tie, such fact shall be communicated to the Chief Justice of the Supreme Court, who shall appoint a circuit judge from another circuit who shall act as a tie breaker. Where the power of appointment is to be exercised by a majority of the judges of the Second Judicial Circuit and such appointment is to a local post, board or commission in Accomack or Northampton County, the resident judge or judges of the County of Accomack or Northampton shall exercise such appointment power as if he or they comprise the majority of the judges of the Circuit.