With an exact date of birth you can search by first name and birth date, giving you possibilities for parents. Then looking at the 1900 census, you may just find her...
http://apps.sd.gov/applications/PH14Over100BirthRec/index.as...

She first shows up on the 1905 South Dakota State census at the age of 6. Clark Mott is 63, Flora M Mott, 54. At first I thought that maybe they are her grandparents. But the 1900 census for the Motts, show Flora having no children.