The 2020 census found 532 people in the township, 230 of whom lived in the village of Zaleski.

Zaleski, the second-smallest village in Vinton County, is located in northwestern Madison Township.

Prattsville is an unincorporated community in Madison Township, Vinton County, Ohio.

It is located about 5 miles east of the county seat McArthur at the intersection of US 50 and State Route 278.

[4] 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.