Here is a full transcription of the census information Denise found:

1930 census Police Jury Ward 3, St Charles Parish, LA
Peter Hardin Head M Neg 37 Married 1st time at age 21 b. LA Father
LA Mother LA Occu: Laborer Oil Refinery
Evelyn Hardin Wife F Neg 32 married 1st time at age 16 b. LA Father
VA Mother LA
Levi Hardin Son M Neg 3yrs 1mon single b. LA Father LA Mother LA
Bessie R Hardin Daughter F Neg 2yrs 0mon single b. LA Father LA
Mother LA

Social Security Death Index Record
about Levi H. Harding
Name: Levi H. Harding
SSN:
Last Residence: 70079 Norco, Saint Charles, Louisiana, United
States of America
Born: 1 Feb 1927
Died: 16 Jun 1997
State (Year) SSN issued: Louisiana (Before 1951 )

Social Security Death Index Record
about Evelyn Harding
Name: Evelyn Harding
SSN:
Last Residence: 70079 Norco, Saint Charles, Louisiana, United
States of America
Born: 7 Aug 1897
Died: Aug 1972
State (Year) SSN issued: Louisiana (1966 )

Louisiana Statewide Death Index, 1900-1949 Record
about Peter Harding
Name: Peter Harding
Death Date: 27 Feb 1949
Estimated Birth Year: 1896
Age: 53 Years
Gender: Male
Race: Negro
Parish: St. Charles
Certificate Number: 628
Volume: 3
Title: Louisiana Statewide Death Indices 1945-1949

Louisiana Marriages, 1718-1925
Name: Virginia Henry
Spouse: Peter Harden
Marriage date: 21 Dec 1914
Marriage place: St. Charles

WWI Draft Card
Peter Harden
Address: Prairieville, LA
DOB: June 27, 1893
Age 24
Where were you born: Hopeville (East Baton Rouge), LA
Occu: Farm Laborer
Employer: F. M. Opdenmeyer?
Where are you employed: Prairieville, LA
Any dependants: Wife
Married
African
No Military service
Doesn't seek an exemption
Medium height, medium build, black eyes, black hair No bald
no disabilities
June 5, 1917

I couldn't find Peter in the census prior to the 1930 Census record that Denise located. Hopefully if you request a copy of his death certificate it will provide you with the names of his parents. If you can find that information be sure to post again.