I searched all of Louisiana and I only found one William Moffitt of the right age.
1860 United States Federal Census > Louisiana > Jackson > Jackson > 95
Dwelling 604/Family 604
Eliga or Elige J. Moffit, 33, male, white, farmer, $1500 real estate, $450 personal property, b Georgia, cannot read or write
Sarah C., 27, female, white, domestic, b GA
Sarah F., 8, female, white, b LA
William J Or G W., 4, male, white, b LA
John T or P., 2, male, white, b LA
Dwelling 605/Family 605
Marian Moffet, 24, male, white, farmer, $500 real estate, $300 personal property, b GA
Elizabeth, 20, female white, domestic, b GA
John M., 2, male, white, b LA
There was a 12-year old William Moffitt in LA and two older men with that name.