Randolph was born in 1805. He passed away after 1870. (possibly Oct 1872)
Sources
"United States Census, 1830," database with images, FamilySearch (https://www.familysearch.org/ark:/61903/1:1:XH5N-69X : 19 November 2020), Randolph Gibson, Albemarle, Virginia, United States; citing 251, NARA microfilm publication M19, (Washington D.C.: National Archives and Records Administration, n.d.), roll 197; FHL microfilm 29,676.; 1830; Census Place: Albemarle, Virginia; Series: M19; Roll: 197; Page: 251; Family History Library Film: 0029676
"United States Census, 1840," database with images, FamilySearch (https://www.familysearch.org/ark:/61903/1:1:XHBM-WZ8 : 19 May 2020), Randel Gibson, Albemarle, Virginia, United States; citing p. 142, NARA microfilm publication , (Washington D.C.: National Archives and Records Administration, n.d.), roll ; FHL microfilm.; Year: 1840; Census Place: St Annes, Albemarle, Virginia; Roll: 549; Page: 142; Family History Library Film: 0029683
Year: 1850; Census Place: Albemarle, Virginia; Roll: 932; Page: 261A
Year: 1860; Census Place: St Annes Parish, Albemarle, Virginia; Page: 623; Family History Library Film: 805331
Year: 1870; Census Place: Lovingston, Nelson, Virginia; Roll: M593_1665; Page: 332A; Family History Library Film: 553164
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DNA Connections
It may be possible to confirm family relationships with Randolph by comparing test results with other carriers of his Y-chromosome or his mother's mitochondrial DNA.
However, there are no known yDNA or mtDNA test-takers in his direct paternal or maternal line.
It is likely that these autosomal DNA test-takers will share some percentage of DNA with Randolph: