There are 7 US Post Offices in Ashley County serving a total of 22,346 residents equating to 3,192 residents per post office. It's estimated that approximately 35,667 packages are handled across the 7 county post offices annually. Ashley County is a county located in the U.S. state of Arkansas. As of the 2010 census, the population was 21,853. The county seat is Hamburg. The county was formed in 1848 from parts of Chicot, Drew and Union counties and named after Chester Ashley. It is an alcohol prohibition or dry county."