"United States Census, 1900," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M36L-7M6 : accessed 2 October 2017), William W Cook, King River & Purdy Townships, Madison, Arkansas, United States; citing enumeration district (ED) 71, sheet 17A, family 307, NARA microfilm publication T623 (Washington, D.C.: National Archives and Records Administration, 1972.); FHL microfilm 1,240,067.
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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: