"United States Census, 1920," database with images, FamilySearch(https://familysearch.org/ark:/61903/1:1:M434-1R1 : accessed 3 February 2018), George W Ennis, Southeast, Jones, Mississippi, United States; citing ED 92, sheet 15B, line 73, family 275, NARA microfilm publication T625 (Washington D.C.: National Archives and Records Administration, 1992), roll 881; FHL microfilm 1,820,881
"United States Census, 1930," database with images, FamilySearch(https://familysearch.org/ark:/61903/1:1:SY18-RZM : accessed 3 February 2018), George W Ennis, Holopaw, Osceola, Florida, United States; citing enumeration district (ED) ED 16, sheet 6A, line 25, family 123, NARA microfilm publication T626 (Washington D.C.: National Archives and Records Administration, 2002), roll 327; FHL microfilm 2,340,062.
It may be possible to confirm family relationships with Eloise 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 Eloise: