Va. Code Ann. § 24.2-119

No person, nor the deputy of any person, who is employed by or holds any office or post of profit or emolument, or who holds any elective office of profit or trust, under the governments of the United States, the Commonwealth, or any county, city, or town, shall be appointed a member of the electoral board or general registrar. No person, nor the deputy or the employee of any person, who holds any elective office of profit or trust under the government of the United States, the Commonwealth, or any county, city, or town of the Commonwealth, shall be appointed a deputy registrar or officer of election.