High Quality Content by WIKIPEDIA articles! High Quality Content by WIKIPEDIA articles! Monroe Township is one of the twelve townships of Allen County, Ohio, United States. The 2000 census found 2,219 people in the township, 1,720 of whom lived in the unincorporated portions of the township. It is one of twenty-two Monroe Townships 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.