I guaranteenothing but have found on the 1850 census an ElizabethCovington, age 48 which would have been approximately correct, in Rutherford County near Tempy and Allen Henderson (apparently her sister and brother-in-law). She had two children with her, Mary, 21, and Nancy, 13. There may have been more children because the 1840 census listed E. Covington with one female 30-39 (Betsy?), one female 15-19, two females 10-14, one female under 5, and one male 15-19. The children aged 15-19 don't fit well for her offspring, but censuses have been incorrect.
Let me know if you find more. Betsy's apparent brother William is my wife's ancestor.