The Edward Ball family of New Jersey: a study, by Claudette Maerz. p.3. Viewed online via ILL from UW-Madison, OCLC number: 34770265. call# 95-3607
"United States Census, 1850," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MX37-794 : 4 April 2020), Elisha Ball, Union, Monroe, Ohio, United States; citing family 202, NARA microfilm publication M432 (Washington, D.C.: National Archives and Records Administration, n.d.).
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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: