"United States Census, 1860", database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MZB1-NNP), William H Thurston in entry for James B Thurston, 1860; Wayne County, Kentucky, USA.
"United States Census, 1870," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MX4H-X3T), William Thurston in household of James Thurston; Wayne County, Kentucky, United States; citing p. 21, family 151, NARA microfilm publication M593 (Washington D.C.: National Archives and Records Administration, n.d.); FHL microfilm 552,002.
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DNA Connections
It may be possible to confirm family relationships with William 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 William: