This appears to be the correct family making her father a John L(awrence) Parker born abt Feb. 1863 and marrying Sarah Belle Pittman abt 1883. There is no indication on the census records of race - other than white. You might want to use the free search tool at familysearch.org to try to find more on this family by plugging in names and dates from the census data.
South Carolina, Deaths, 1944-1955
Daisy Vann Kelly
death 29 Jun 1952 Columbia, Richland, SC
age at death: 68y est birth 1884
father John L. Parker mother Sarah Pittman
Ruby P. Strange (sister)
death 05 Apr 1953 Rural, Santee, SC
age at death: 60y est birth 1893
Married spouse William C. Strange
father John Parker mother Sallie Belle Pittman
U S Census, 1910 Columbia, Richland, SC
self John L Parker M 47y SC
wife Belle Parker F 46y SC
dau Estelle Parker F 22y SC
son Bennie Parker M 20y SC
dau Ruby Parker F 17y SC
son Willie Parker M 13y SC
dau Lilly Parker F 10y SC
U S Census, 1900 ED 37 Township 8 Ridgeway town (part), Fairfield, SC
head John L Parker M 37 Feb 1863 SC married 17 yrs abt 1883
wife Sallie B Parker F 34 Mar 1866 SC 8 children 7 living
dau Daisy Parker F 16 Mar 1884 SC
son Vincent Parker M 15 SC
dau Estelle Parker F 12 SC
son Bennie Parker M 9 SC
dau Belle Ruth Parker F 6 SC
son James T Parker M 3 SC
dau Cora M. Parker F 1 SC
South Carolina, Deaths, 1915-1943 Possibly her mom?
Sarah Bell Parker
death: 26 Apr 1930 Lexington, S C
Female White Widowed
age at death: 66y est birth: 1864 S.C.
father Wm. Pittman birthplace: N.C.
mother's name: Don'T Know
mother's titles & terms (original):
cemetery: Elmwood Cemetery
burial date: 27 Apr 1930
Informant Mr. J.V. Parker, Columbia, SC
North Carolina, Deaths, 1931-1994
Helen Estelle Nichols (?sister Estelle)
Death 27 Apr 1985 Southport, Brunswick, NC
burial place: Wilmington, N.C.
residence: Southport, Brunswick, N.C.
street address: 430 Fodale Ave.
Female Age: 97 Widowed White
birth 26 Feb 1888 Kershaw, SC
father: John Lawrence Parks mother: Sarah Belle Pittman