This could be the Jane listed on the 1850 Bulloch Co, GA Federla Census:
22 17 17 Wilson Ann 40 F N. C. X
23 17 17 Wilson Jane 39 F Ga. X
24 17 17 Wilson Joannah 8 F Ga.
25 17 17 Wilson Eli 6 M Ga.
26 17 17 Wilson Amanda 4 F Ga.
1850 Bulloch Co, GA Federal Census:
19 52 52 Alderman Thomas 34 M Farmer 600 Ga.
20 52 52 Alderman Mary Ann 30 F Ga.
21 52 52 Alderman Chelly 10 M Ga. X
22 52 52 Alderman Ann 8 F Ga. X
23 52 52 Alderman Ansel 6 M Ga.
24 52 52 Alderman Laviny 4 F Ga.
25 52 52 Alderman Harmon 1 M Ga.