Today I found the death certificate for Mary E. (Lamb) Bryant (1821-1915), in which her parents are recorded as Neeter Prevatt and Needham Lamb (1786-1869), all lived and died in Robeson County, North Carolina. This record is the only source we've been able to find that establishes family relationship. When accounting for their children, Mary appears to be first born and therefore is likely married to James Bryant by the time names are enumerated in the 1840 Federal Census.
Neeter is likely short for Beneter, based on Federal Census enumerations in 1850 and 1860. I am looking for the parents of Beneter Prevatt.