The above image represents the Indian Tribes of Indiana:
The treaties concluded between 1821 and 1832 at Chicago, Mississinewa, Carey Mission, and Tippecanoe focused on the lands in northern Indiana. In the 1826 negotiations of the Mississinewa agreements, the Miamis and Potawatomies were further isolated on reservations in the north-central part of the state and provided with hunting rights on their ceded lands.
It is during this time the Williams family migrate to Tippecanoe. Much more about these times can be found at this site, representing the Native American perspective.