The 1900 census won't help you find parents (unless they are alive and living with him). He is listed in 1870 - but there are no Broadwater's in the county much older than he is.

BROADWATER, EDMOND (1870 U.S. Census)
South Carolina , EDGEFIELD, TALBERT TWP, Age 36, Male, Race: Mulatto, Born: SC
Series: M593 Roll: 1495 Page: 510

Suggest you get his marriage record to Jane from about 1865 - since oldest child is 15. See if that lists his parents.

Denise