There is no Moses Crittenden on the Muster Rolls of the 1st or 2nd Regiment of Arkansas Mounted Gumen, 1836-1837. There is also no one by that name on the muster roll for Jesse Beans' Company of Mounted Rangers, 1832-1833. I do not have the Muster Rolls of the Arkansas Regiment of Mounted Volunteers, or the Arkansas Battalion of Infantry and Mounted Rifles from 1846. Maybe Bryan Howerton on someone else on this sight has this roll.