Stoneham Township was organized in 1880, and was so named from the fact one settler hailed from Stoneham, Massachusetts, and another settler had the surname Stone.

At the 2000 census,[1] there were 260 people, 86 households and 74 families residing in the township.

There were 86 households, of which 41.9% had children under the age of 18 living with them, 80.2% were married couples living together, 3.5% had a female householder with no husband present, and 12.8% were non-families.

8.1% of all households were made up of individuals, and 3.5% had someone living alone who was 65 years of age or older.

About 5.6% of families and 6.7% of the population were below the poverty line, including 7.7% of those under the age of eighteen and 18.6% of those 65 or over.