Lewis was married to Elizabeth Jones on 24 Oct 1817 in Campbell County, Virginia. 
"Virginia, Marriages, 1785-1940," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:XRWH-4RZ : accessed 4 November 2015), Lewis Franklin and Elizabeth Janes, 24 Oct 1817; citing Campbell, Virginia, reference ; FHL microfilm 31,050.
"United States Census, 1850," index and images, FamilySearch (https://familysearch.org/pal:/MM9.1.1/M88T-XJL : accessed 17 Oct 2014), Lewis Franklin, Campbell county, Campbell, Virginia, United States; citing family 1110, NARA microfilm publication M432.
Hinshaw, William Wade, and Thomas Worth Marshall. "Campbell County Marriage Bonds." Encyclopedia of American Quaker Genealogy. Vol. VI (Virginia). Baltimore: Genealogical Pub., 1969. p. 817
It may be possible to confirm family relationships with Lewis by comparing test results with other carriers of his Y-chromosome or his mother's mitochondrial DNA.
Y-chromosome DNA test-takers in his direct paternal line on WikiTree: