Galveston is a town in Jackson Township, Cass County, Indiana, approximately 7 miles northwest of downtown Kokomo. The population was 1,311 at the 2010 United States Census. Galveston was laid out in 1854. It was probably named after Galveston, Texas, although folk etymology holds that "a gal with a vest on" caused the name to be se…Galveston is a town in Jackson Township, Cass County, Indiana, approximately 7 miles northwest of downtown Kokomo. The population was 1,311 at the 2010 United States Census. Galveston was laid out in 1854. It was probably named after Galveston, Texas, although folk etymology holds that "a gal with a vest on" caused the name to be selected. Galveston was incorporated as a town in 1870.