According to a user submitted pedigree file her parents are Alexander Cooke and Lettice Cornelius. That would require more research to confirm. Maybe you can research her many siblings to determine more. Try the free search tool at: https://familysearch.org/search
Possible father?
United States Census Mortality Schedule
Citing this Record: "United States Census (Mortality Schedule), 1850," index and images, FamilySearch (https://familysearch.org/pal:/MM9.1.1/MSR8-KTR
Name: Alexander Cook
1850 Williamsburg county, Williamsburg, SC
Male Age: 47 Married Birthplace: SC
Death Feb 1850 Typhus fever
Birth (Est) 1803
Reference ID: 6
Image Number: 00231
US Census 1850 Cocke county, Cocke, TN
Citing this Record: "United States Census, 1850," index and images, FamilySearch (https://familysearch.org/pal:/MM9.1.1/MCDC-8DR
Lettice Cook F 48 South Carolina
Polly Cook F 25 South Carolina
Lucinda Cook F 24 South Carolina
John Cook M 21 South Carolina
Edwin Cook M 18 South Carolina
Elizabeth Cook F 16 South Carolina
Thomas Cook M 14 South Carolina
Juliet Cook F 12 South Carolina
Boyce Cook M 9 South Carolina
Brunetta Cook F 7 South Carolina
Lettice Cook F 6 South Carolina
User submitted pedigree: Requires confirmation of details:
https://familysearch.org/pal:/MM9.2.1/SB2Y-5LR