This family is listed in the 1850 census for Cabell Co, VA
This family is listed in the 1860 census for Cooper Co, MO
Other census listings for James:
1840, Clark Co IN, p 284
James PIAT, wife, two sons under 5
1850, Cabell Co VA, p 62
James PIATT, Tabitha A, Robert, Andrew J, Emily J, James M
1860, Cooper co MO, Palestine, p 111
James PEATT, Tibartha [sic], Robert, Andrew J, Jane, James M, Harriet F, Olivar [sic] M, Cordelia, Christena, Isabel
1870, Cooper Co MO, Clear Creek, no page given
James PIATT, Sarah E, James, Harriet, Cordelia, Christina, William, Lucy W, Benjamin F, Mary E, kate, and stepdaughters Nancy Lloyd and Sallie Lloyd [note: the Lloyd girls were Nancy Belle and Sarah Ellen Lloyd]
1880, Cooper Co MO, Pilot Grove
James PIATT, Sarah E, William, Lucy W, Benjamin F, Catherine, George, Charles