Auburn Township is one of the sixteen townships of Geauga County, Ohio, United States. As of the 2020 census, the population was 6,574. No municipalities are located in Auburn Township. Statewide, other Auburn Townships are located in Crawford and Tuscarawas counties. Auburn Township was founded by the Bradley and Snow families of South N…Auburn Township is one of the sixteen townships of Geauga County, Ohio, United States. As of the 2020 census, the population was 6,574. No municipalities are located in Auburn Township. Statewide, other Auburn Townships are located in Crawford and Tuscarawas counties. Auburn Township was founded by the Bradley and Snow families of South Newbury, New Hampshire.