Achilles was the son of Israel Sneed and Mary Crutcher.
Here is the information I have compiled from a number of sources:
Israel Sneed b. abt 1728 d. Nov 27, 1787 married Mary Crutcher (b. abt 1744 d. 1792) about 1768 in Caroline Co, VA.They had the following children:
William Sneed d. abt 1827 Landon Sneed b. abt 1770 married Nancy Eidson in Franklin Co, KY Achilles Sneed b. abt 1772 in Caroline Co, VA married Sally Stewart on November 8, 1800 in Franklin Co, KY Thomas Sneed d. abt 1804 in Mercer Co, Ky, married Sarah ? John Sneed b. March 28, 1778 in Caroline Co, VA d. Mercer Co, KY abt 1825, married Patsy ? Elizabeth Sneed Fielding Sneed (died in Kentucky between December 20, 1794 and March 1795) married Elizabeth Crutcher in Kentucky
Israel was the son of Major Samuel Snead and Temperence Buford (or Beaufort).Mary Crutcher was the daughter of Thomas Crutcher Jr. and Sarah Foster.