Jamestown is a town in Grant County, Wisconsin, United States. The population was 2,077 at the 2000 census. The census-designated pl…Jamestown is a town in Grant County, Wisconsin, United States. The population was 2,077 at the 2000 census. The census-designated places of Kieler and Sandy Hook and the unincorporated communities of Fair Play, Louisburg, and Rutledge are located within the town; The unincorporated community of Sinsinawa is located partially in Jamestown. The ghost town of Sinnipee was located in the town.