High Quality Content by WIKIPEDIA articles! High Quality Content by WIKIPEDIA articles! Ames Township is one of the fourteen townships of Athens County, Ohio, United States. The 2000 census found 1,231 people in the township, 1,047 of whom lived in the unincorporated portions of the township. It is the only Ames Township statewide. 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.