could this be the birth mother ? it is the only jessie braddock that came up for SD
1920 United States Federal Census Record
about Jessie E Braddock
Name: Jessie E Braddock
Age: 16 years
Estimated birth year: abt 1904
Birthplace: Indiana
Race: White
Home in 1920: White Butte, Perkins, South Dakota
Sex: Female
Marital status: Single
Relation to Head of House: Daughter
Able to read: Yes
Able to Write: Yes
Mother's Birth Place: Indiana
Father's Birth Place: Indiana
Image: 416
oliver head of house 54
rhoda wife 53
frank g son 23
william h son 26
susan dau-in-law 25
jefferson williamson nephew 34



misc found
Braddock Oliver P Rhoda C. Hilton January 6 , 1888 January 8 , 1888 2 320
Hilton Rhoda C Oliver P. Braddock January 6 , 1888 January 8 , 1888 2 320