"United States Census, 1870," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MNHB-JV2 : 12 April 2016), Wm P Waddel in household of J M Waddel, Arkansas, United States; citing p. 31, family 222, NARA microfilm publication M593 (Washington D.C.: National Archives and Records Administration, n.d.); FHL microfilm 545,547.
See also:
1870 United States Federal Census for Jefferson, Boone, Arkansas. With parents and 3 siblings. (ancestry.com [on-line database]).
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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 ancestors' Y-chromosome or 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: