"United States Census, 1850," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M4HD-689 : 12 April 2016), Margarette Birch in household of Matthew Birch, Wharton, Fayette, Pennsylvania, United States; citing family 226, 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 Margaret 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 Margaret: