"United States Census, 1870," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MZ4Y-Y2X : 12 April 2016), Idah Coal in household of Robert W Coal, West Virginia, United States; citing p. 5, family 26, NARA microfilm publication M593 (Washington D.C.: National Archives and Records Administration, n.d.); FHL microfilm 553,196.
"United States Census, 1880," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M6TQ-QT3 : 15 July 2017), Ida L Cole in entry for William Cole, 1880; citing enumeration district ED 117, sheet 194D, NARA microfilm publication T9 (Washington D.C.: National Archives and Records Administration, n.d), roll 1411; FHL microfilm 1,255,411.
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DNA Connections
It may be possible to confirm family relationships with Ida by comparing test results with other carriers of her ancestors' mitochondrial DNA.
However, there are no known mtDNA test-takers in her direct maternal line.
It is likely that these autosomal DNA test-takers will share some percentage of DNA with Ida: