Both of these websites, while unsourced, agree that the father was Samuel Baker...thus making her last name at birth more probably Baker.
Sources
↑Marriage:
"Maryland, U.S., Compiled Marriages, 1655-1850" Ancestry Record 7846 #9557 (accessed 8 May 2022)
Susannah Barker marriage to Uriah Vermillion on 16 Mar 1783 in Charles County.
↑Burial:
"U.S., Find a Grave Index, 1600s-Current" Ancestry Record 60525 #12570595 (accessed 8 May 2022)
Uriah Vermillion burial (died on 31 Oct 1844) in Arabia, Lawrence County, Ohio, United States of America. Find A Grave: Memorial #7303976
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DNA Connections
It may be possible to confirm family relationships with Susannah 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 Susannah:
Barker-4538 and Baker-18416 appear to represent the same person because: Same person though Barker 4538 has more detailed information and more sources.