Swayzee is a town in Sims Township, Grant County, Indiana, United States. The population was 981 at the 2010 census. On its welcome sign, Swayzee claims to be "the only Swayzee in the world." This motto is based on a story about a postcard sent by a serviceman overseas during World War II, which although being addressed only to "Swayzee", with no m…Swayzee is a town in Sims Township, Grant County, Indiana, United States. The population was 981 at the 2010 census. On its welcome sign, Swayzee claims to be "the only Swayzee in the world." This motto is based on a story about a postcard sent by a serviceman overseas during World War II, which although being addressed only to "Swayzee", with no mention of Indiana or any other information, was still said to have been successfully delivered.