 Independence Township has six borders, including Jefferson Township to the north, Cross Creek Township to the northeast, Hopewell Township to the east, Blaine Township to the southeast, Donegal Township to the south, and Brooke County, West Virginia to the west.As of the census of 2000, there were 1,676 people, 646 households, and 494 families residing in the township.The population density was 65.1 people per square mile (25.1/km²).