There are 8 US Post Offices in Patrick County serving a total of 17,696 residents equating to 2,212 residents per post office. It's estimated that approximately 28,245 packages are handled across the 8 county post offices annually. Patrick County is a county located in the Commonwealth of Virginia. As of the 2010 census, the population was 18,490. Its county seat is Stuart. It is located within both the rolling hills and valleys of the Piedmont Region of Virginia and mountainous Southwest Virginia."