 The dams forming Old Abe Lake are just upstream from the unincorporated community of Jim Falls, across the river to the east in the town of Anson.According to the United States Census Bureau, the town of Eagle Point has a total area of , of which is land and , or 8.10%, is water.As of the census of 2000, there were 3,049 people, 978 households, and 820 families residing in the town.