"United States Census, 1850", database with images, FamilySearch (http://familysearch.org/ark:/61903/1:1:M658-QQR : Sun Mar 12 20:20:11 UTC 2023), Entry for Rebecca Burten and Franklin Burten, 1850.
U.S. and International Marriage Records, 1560-1900 https://www.ancestry.com/discoveryui-content/view/97996:7836?ssrc=pt&tid=62731836&pid=100040941024 (Source number: 2021.056; Source type: Family group sheet, FGSE, listed as parents; Number of Pages: 1; Yates Publishing. U.S. and International Marriage Records, 1560-1900 [database on-line]. Provo, UT, USA: Ancestry.com Operations Inc, 2004.
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DNA Connections
It may be possible to confirm family relationships with Rebecca by comparing test results with other carriers of her 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 Rebecca:
I'm going by the Rachel name. I don't see a Rachel listed, but it's the closest thing to match.