I have been working on a line of Hamilton's (not my line) in Noble Co. Indiana and I found a William M.? Hamilton b. 1804? in Ohio and married Nancy Wilmoth b. 1819?
Their children were: James b. 1838, William Wlmoth b. 1840, Francis Marion b. 1842 in Noble Co. IN, Amos b. 1845, Franklin b. 1847 and Elton b 1849. Could this be your family. I only have info on the line of Francis Marion in Nashville TN. email@example.com