"United States Census, 1850," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M85H-89X : 12 April 2016), Frances Davidson in household of John E Davidson, Woodford county, Woodford, Illinois, United States; citing family 119, NARA microfilm publication M432 (Washington, D.C.: National Archives and Records Administration, n.d.).
Find A Grave: Memorial #26907108 is likely a match, however Billion Graves interprets the birth date as 1835 not 1805. The purported child (Lorinda J Davidson Dawdy) was born in 1840.
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