There are 7 US Post Offices in Roane County serving a total of 12,532 residents equating to 1,790 residents per post office. It's estimated that approximately 20,002 packages are handled across the 7 county post offices annually. Roane County is a county located in the U.S. state of West Virginia. As of the 2010 census, the population was 14,926. Its county seat is Spencer. The county was founded in 1856 and is named for Spencer Roane."