John Pitts' 1840 census in Lock Township, Elkhart, Indiana, quite curiously appears on the same census page as another Pitts family seemingly unrelated, that is your Lewis Pitts. They seem to have arrived in Elkhart coincident with John Pitts who came from Onondaga, New York. The family of Lewis Pitts from Virginia traveled an unusual distance North of the normal migratory pattern. Further, John Henry Pitts, son of the John mentioned, resided with the Lewis Pitts family over the next two decades which means that for forty years they were connected. This appears to be more than happenstance. They may have even named a son after John.
I would not swear by the following, but it came from a reliable source: Lewis Pitts b. ABT 1811 in Ohio Co., Va. son of Lewis b. 1767/1770 in Md. and Sarah Cole Pitts b. ABT 1772 in Md. He m. Cassandra GEORGE 29 Aug 1833 in Tyler County, Virginia. Children: 1.Martin Pitts b. 1835 in Virginia, 2. Didamie Alcinda Pitts b. 8 May 1836 in Virginia, and B. Indiana: 3. William Pitts b. 1840, 4. Ruth Pitts b. 1843, 5. Lewis Pitts b. 1844 6. John Pitts b. 1847, 7. Cassa A Pitts b. 1848.