Greenwood Township covers an area of 30.47 square miles (78.9 km2) and contains no incorporated settlements.

The Sac and Fox agency itself was removed from the territory in 1863 to Quenemo, Osage County, and the first settlement in Greenwood occurred that year[3]:621.

It was here where Keokuk and the other Sac nation members were relocated after the Black Hawk War.

Judge G. B. Greenwood, of Arkansas, then United States Commissioner of Indian Affairs, assisted in making the treaty.

Two or three houses were built, but the town never prospered, but instead, passed rapidly out of existence[citation needed].