Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Madison Township is one of the thirteen townships of Fairfield County, Ohio, United States. The 2000 census found 1,385 people in the township. It is one of twenty Madison 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.