Elkton Township was named for the former abundance of elk in this region.

As of the census[1] of 2000, there were 283 people, 104 households, and 86 families residing in the township.

There were 109 housing units at an average density of 3.0 per square mile (1.2/km2).

15.4% of all households were made up of individuals, and 5.8% had someone living alone who was 65 years of age or older.

About 5.9% of families and 6.8% of the population were below the poverty line, including 10.4% of those under the age of eighteen and 15.4% of those 65 or over.