There are 2 US Post Offices in Haywood County serving a total of 16,951 residents equating to 8,476 residents per post office. It's estimated that approximately 27,056 packages are handled across the 2 county post offices annually. Haywood County is a county located in the U.S. state of Tennessee. As of the 2010 census, the population was 18,787. Its county seat and largest city is Brownsville.