I believe we may be distant cousins if I am right and I am also descended from your Francis and his son Isham. The following information is from family sources and I am fairly certain of it:
My maternal grandmother was Virgie May Aldridge (b. 2/20/1886 in Forrest City, Arkansas, m. Thomas Albert Carrick, d. 2/9/1986 in Forrest City). Her father was William Henderson Aldridge (b. 6/18/1853 in Jasper Alabama, m. Nancy Catherine Hester in 1882, d. 4/19/1942 in Forrest City Arkansas). His father was Felix Aldridge (b. 1829 in Alabama, m. Lucinda Woodward c. 1850, d. between 1860 and 1880).
After this, most of the following information was gleaned from www.familysearch.org and I have not confirmed it:
Felix Aldridge's father was James L. Aldridge (b. 1793 in North Carolina, m. Martha A. LNU c. 1820 in Alabama). His father was Isham Aldridge (b. 1765 in Wilkes Co., NC, m. Dianah Parker Dec. 1792 in Wilkes Co., d. after 1840 in Fayette Co. Alabama). Isham's father was Francis Aldridge (b. c. 1740 in Wilkes, NC).
I can provide more complete information about the generations from Felix downward. I would be especially interested in knowing if you have information from other sources than that posted to FamilySearch.org, and also about siblings to my direct line.