I have an Ezekial Jefferson Hunnicutt, born December 10, 1808 to William & Elizabeth Young Hunnicutt of Pickens Sounty, SC. Ezekial married Amy Boyd in 1825. Their son, William Andrew was born November 28, 1828 and died October 29, 1886. William Andrew married Mary Kandy Patterson (November 11, 1835 - December 24, 1909) in 1851. Their son, James Andrew, was born July 30, 1866. He married Mollie Childress firse, and E. Stancil second. They had a son, Grace.
This information is taken from the Hunnicutt Family History by Jessie Hunnicutt Burgess, published privately in the early 1950's. I have not documented any of this information, nor does the book tell where cousin Jessie found this information.
Please let me know if this matches what you have. I am descended from William & Elizabeth Young Hunnicutt through their son, James Madison Hunnicutt.