Found this information about William Spearman's on Fold3 from the 1860 US Federal Census. This also includes his father, brother and another family member not sure of the relationship.
Piedmont, SC is located in Anderson County
Person: Frances Spearman
Age in 1860: 44
Birth: South Carolina
Female (Has to be an error based on the name, birth year matches father)
Estimated Birth Year: 1816
Residence:
Place: Anderson County, South Carolina
From: 1860
Minor Civil Division: The 42d Regiment
Person: William Spearman
Age in 1860: 10
Birth: South Carolina
Male
Estimated Birth Year: 1850
Residence:
Place: Anderson County, South Carolina
From: 1860
Minor Civil Division: The 42d Regiment
Person: John Spearman
Age in 1860: 12
Birth: South Carolina
Male
Estimated Birth Year: 1848
Residence:
Place: Anderson County, South Carolina
From: 1860
Minor Civil Division: The 42d Regiment
Person: T A Spearman
Age in 1860: 40
Birth: South Carolina
Male
Estimated Birth Year: 1820
Residence:
Place: Anderson County, South Carolina
From: 1860
Minor Civil Division: The 42d Regiment
On the Census ledger it listed William's parents and family living with TA Spearman, and TA Spearman as having real estate valued at $900 and personal property valued at $200.
Hope this helps.