An ancestry pedigree says the Richard Franklin Hiott (1834-1907) was: "Born in South Carolina, United States on Aug 1834 to Joseph Hamilton "H.C." Hiott and Mary K. Polk. Richard Franklin Hiott had 7 children. He passed away on 1907 in Beaverdam Church, Belton, SC" but I haven't found any sources to prove this for you.
Another pedigree file suggest that his Joseph Hamilton was "was born in 1806, at birth place, South Carolina, to William Henry Hiett and Ann Hiett (born Clark). William was born in 1785, in Greenville, Spartanburg, South Carolina, United States. Ann was born circa 1780. Joseph had 19 siblings: Henry Heson Hiett, John Charles Hiett and 17 other siblings. Joseph passed away at death place, North Carolina." https://www.myheritage.com/names/joseph_hiott Again no apparent sources