Nashville Township was organized in 1864, and named for A. M. Nash, an early settler.

[3] According to the United States Census Bureau, the township has a total area of 36.5 square miles (94.4 km2), all land.

The racial makeup of the township was 98.72% White, 0.43% Native American, and 0.85% from two or more races.

19.1% of all households were made up of individuals, and 11.7% had someone living alone who was 65 years of age or older.

About 2.4% of families and 3.5% of the population were below the poverty line, including 10.2% of those under the age of eighteen and none of those 65 or over.