May I make a suggestion?I see you posted this query a few years back and someone asked you the same question I was about to ask -- is Cooper her maiden name or married name?A little more information on Nancy in your post would help narrow the search a bit.By digging through your message history I learned a little more then you gave here, and I assume that's how Carol found them on the 1880 census.
So, I went looking at the 1880 census, Carol mentioned, found some information on Nancy, her husband Richard and their children.With that I found the following.
1870 census Talladega Co, AL:
Burson, Richard J., 40, b GA - no land/personal 200 " Nancy, 28, b GA " Mary J., 10, b AL " Richard J., 5, b AL " Sarah J. A., 3, b AL " Elisha A., 8/12, b AL
Did you find the marriage record for Nancy and Richard in 1860 in AL? Was it in Talladega Co, AL?
1860 census Talladega Co, AL:
Cooper, Uriah, 61, b NC " Nancy, 51, b GA " Elizabeth, 22, b GA " L____, 20, b AL " Susan, 14, b AL " Cristopher[sic], 11, b AL
Birth locations for Uriah and Nancy fit info given on the 1880 census for parents of Nancy.I do not have access to 1850 census online, I suggest you check out this Uriah, see if Nancy is at home in 1850.Uriah, wife and some of his family still in Talladega Co, AL on the 1870 census, 8 pages away from Richard and Nancy.