High Quality Content by WIKIPEDIA articles! High Quality Content by WIKIPEDIA articles! Cardington Township is one of the sixteen townships of Morrow County, Ohio, United States. The 2000 census found 2,790 people in the township, 960 of whom lived in the unincorporated portions of the township. It is the only Cardington 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.