Here are their names. Since Williams is a common name, I added some other information that may be helpful. I appreciate any help you can provide. I have been running into brick walls elsewhere .

John Williams (father, wounded at Wilson's Creek?)
DOB: 2-1-1815
Place of Birth: Graves Co, Kentucky (?)
Home town: Iberia, Miller County
No CSA service record

Wade A. Williams (also W.A., Waide, son, served in the CSA Missouri brigade, killed in battle at Battle of Franklin)
DOB: 7-16-1837
Place of Birth: Graves Co, Kentucky
Home town: Iberia, Miller County
Enlisted CSA: Jan. 29, 1862, Springfield, MO, Co E, 3rd Battalion MO Cavalry

B. B. Williams (also Bluford Barton, Bentley, son, served in the CSA Missouri brigade, killed in battle at Battle of Champion Hill (Baker's Creek), Vicksburg campaign)
DOB: 5-13-1843
Place of Birth: Graves Co, Kentucky
Home town: Iberia, Miller County
Enlisted CSA: Jan. 29, 1862, Springfield, MO, Co E, 3rd Battalion MO Cavalry