There are 3 US Post Offices in Sherman County serving a total of 5,951 residents equating to 1,984 residents per post office. It's estimated that approximately 9,498 packages are handled across the 3 county post offices annually. Sherman County (standard abbreviation: SH) is a county located in the U.S. state of Kansas. As of the 2010 census, the county population was 6,010. Its county seat is Goodland. Sherman County was created by the Legislature of 1873, and named after General William Tecumseh Sherman."