Kenwood is an unincorporated community and census-designated place in Delaware and Mayes counties, Oklahoma, United States. As of the 2010 census it had a population of 1,224. Kenwood is 20 miles by road southwest of Jay, the Delaware County seat. It is 11 miles east of Salina. Kenwood once had a post office, which opened on May 25, 1922. Th…Kenwood is an unincorporated community and census-designated place in Delaware and Mayes counties, Oklahoma, United States. As of the 2010 census it had a population of 1,224. Kenwood is 20 miles by road southwest of Jay, the Delaware County seat. It is 11 miles east of Salina. Kenwood once had a post office, which opened on May 25, 1922. The community's name came from a combination of William Kennedy and the National Hardwood Company.