If her father was born in 1728, it's not likely Catherine was born only twelve years later in 1740. Her oldest son was born about 1756 which indicates that Catherine could not have been born much later than 1740 as she would have been too young to give birth.
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It may be possible to confirm family relationships with Catherine 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 (beta) of DNA with Catherine: