 A union church shared by Presbyterians and Lutherans was built around 1810, and John Engle built a sawmill in the township in 1818.According to the United States Census Bureau, the township has a total area of , of which is land and 0.04% is water.Greenville Township is bordered by Southampton Township to the east, Larimer Township to the northeast, Summit Township to the northwest, Elk Lick Township to the west, and the state of Maryland to the south.