High Quality Content by WIKIPEDIA articles! High Quality Content by WIKIPEDIA articles! Seneca Township is one of the eighteen townships of Monroe County, Ohio, United States. The 2000 census found 508 people in the township. Statewide, other Seneca Townships are located in Noble and Seneca Counties. The township is governed by a three-member board of trustees, who are elected in November of odd-numbered years to a four-year term beginning on the following January 1.