i am so sorry it's taken me so long to get back to you. I've been super busy with a work project and just haven't had the time to look until this weekend.
I'll give you what I found so far. You may have this already.
I know you have the 1850 and 1860 censuses.
1870 Hurricane, Pct. 4, Crittenden, KY p. 394
A. Jorden, 31, farmer, ark.
A. J., 30, TN
W. H., 4, KY
1870 Fords Ferry, Pct. 5, Crittenden, p. 419
W. H. Jorden, 26, KY, farmer
R. e., 27, KY
L. M., 10/12, born in Sep.
Elizabeth, 58, KY
A. R. Courtney, works on farm, TN
1880 Princeton, Caldwell, KY, ed 159, p.
Alsay, Jordan, 41, brickmaker, aR/AR/KY
Amanda, 39, TN
Wm. H., 14
Thos. A., 9
James M., 6
1880 Galatia, Saline, IL, ed 107, p. 22c
Wm. H. Jordan, 38, butcher, KY/KY/KY
Elisabeth, 38, TN
Mary H., 7
Geo. W., 4
Elizabeth, 74, mother, KY/VA/VA, got neuralgia, blind
My guess is that rebecca and Elizabeth Jordan on the 1850 and 60 census are the same person. It looks like this family was in Arkansas about 1838 but back in KY by 1842.
Where were they in 1840?
They aren't in Livingston Co. so I'm not sure where.
The naming practices of the day were to name the first born son after the paternal grandfather and the second born son after the maternal grandfather. I'm not sure if that helps or not.
It looks as if Jane Jordan might have died bet. 1850-1860. Unless she married very young.
I'm still searching. I'll get back to you.