"United States Census, 1870," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MXWG-Y7D : 12 April 2016), J William Broyles in household of Lewis H Broyles, Kentucky, United States; citing p. 5, family 30, NARA microfilm publication M593 (Washington D.C.: National Archives and Records Administration, n.d.); FHL microfilm 545,986.
"United States Census, 1880," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MCZ8-7FV : 29 August 2017), Crillon Broyles in household of Louis H Broyles, Paducah, McCracken, Kentucky, United States; citing enumeration district ED 123, sheet 78B, NARA microfilm publication T9 (Washington, D.C.: National Archives and Records Administration, n.d.), FHL microfilm 1,254,430.
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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: