"United States Census, 1850," database with images, FamilySearch (https://www.familysearch.org/ark:/61903/1:1:MX3C-MZ4 : 21 December 2020), Harriet Cole in household of Rachel Cole, Muskingum, Muskingum, Ohio, United States; citing family , NARA microfilm publication (Washington, D.C.: National Archives and Records Administration, n.d.).
"United States Census, 1880," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MXVX-4JS : 19 February 2021), Harriet Cole in household of Benjamin Cole, Blandinsville, McDonough, Illinois, United States; citing enumeration district ED 154, sheet 306B, NARA microfilm publication T9 (Washington, D.C.: National Archives and Records Administration, n.d.), FHL microfilm 1,254,227.
"Illinois, County Marriages, 1810-1940," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:VXG7-VW2 : 19 February 2021), John T Vaughon and Hattie Cole, 20 Apr 1882; citing Hancock, Illinois, United States, county offices, Illinois; FHL microfilm 1,533,355.
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DNA Connections
It may be possible to confirm family relationships with Harriett 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 Harriett: