There are 7 US Post Offices in Brown County serving a total of 38,106 residents equating to 5,444 residents per post office. It's estimated that approximately 60,821 packages are handled across the 7 county post offices annually. Brown County is a county in west-central Texas. As of the 2010 census, the population was 38,106. Its county seat is Brownwood. The county was founded in 1856 and later organized in 1858. It is named for Henry Stevenson Brown, a commander at the Battle of Velasco. The Brownwood, TX Micropolitan Statistical Area includes all of Brown County."