I don't think she ever married. In the 1900 census you can see her living with her half brother, Casewell Wilson, and it just says Single (instead of Divorced or Widowed) and she is still using the surname of Wilson. She was 89 at the time of that census.
Born in September of 1810. and she passed away about 1906.
It may be possible to confirm family relationships with Elizabeth 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 DNA with Elizabeth: