Bainbridge is a census-designated place (CDP) in Bainbridge Township, Geauga County, Ohio, United States. As of the 2020 census, the CDP had a population of 9,242. A variant name of Bainbridge was "Bissells". A post office called "Bissels" was established in 1826, and remained in operation until 1906. Bainbridge derives its name from the naval hero of the Wa…Bainbridge is a census-designated place (CDP) in Bainbridge Township, Geauga County, Ohio, United States. As of the 2020 census, the CDP had a population of 9,242. A variant name of Bainbridge was "Bissells". A post office called "Bissels" was established in 1826, and remained in operation until 1906. Bainbridge derives its name from the naval hero of the War of 1812, Commodore William Bainbridge.