She married twice. First to Henry Ferdinand Beam and second to Hezekiah Malone.
"United States Census, 1850," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M674-MQH : 12 April 2016), Elizabeth Gates in household of Joseph Gates, Harrison, Union, Arkansas, United States; citing family 614, NARA microfilm publication M432 (Washington, D.C.: National Archives and Records Administration, n.d.).
It may be possible to confirm family relationships with Elizabeth 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 DNA with Elizabeth: