Paternal relationship is confirmed with an AncestryDNA test match between Margaret Taffe Hoodak and JoAnn Ryan Davis, 3rd cousins, 1x removed. Predicted relationship reported by AncestryDNA: 4th cousins based on sharing 45 cM across 6 segments; Confidence: High.
Sources
"United States Census, 1850," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M44Y-JT3 : 12 April 2016), Philip Cain in household of Mathew Donahoe, Banks, Carbon, Pennsylvania, United States; citing family 202, NARA microfilm publication M432 (Washington, D.C.: National Archives and Records Administration, n.d.).
"United States Census, 1870," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MZL5-GZ2 : 12 April 2016), Phillip Kane, Pennsylvania, United States; citing p. 18, family 132, NARA microfilm publication M593 (Washington D.C.: National Archives and Records Administration, n.d.); FHL microfilm 552,811.
"United States Census, 1880," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MWX4-946 : 15 July 2017), Philipp Cain, Wilmot, Bradford, Pennsylvania, United States; citing enumeration district ED 36, sheet 589C, NARA microfilm publication T9 (Washington D.C.: National Archives and Records Administration, n.d.), roll 1105; FHL microfilm 1,255,105.
"United States Census, 1900," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M39S-74Z : accessed 16 November 2017), Phillip Cane Sr., Wilmot Township, Bradford, Pennsylvania, United States; citing enumeration district (ED) 54, sheet 14B, family 321, NARA microfilm publication T623 (Washington, D.C.: National Archives and Records Administration, 1972.); FHL microfilm 1,241,383.
Pennsylvania (State). Death certificates, 1906–1963. Series 11.90 (1,905 cartons). Records of the Pennsylvania Department of Health, Record Group 11. Pennsylvania Historical and Museum Commission, Harrisburg, Pennsylvania. (Death certificate of daughter Cain-4172)
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DNA Connections
It may be possible to confirm family relationships with Philip 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 Philip: