Don't know if the John Williams mentioned is yours or not, but maybe a lead.
Morgan Co, Wills, submitted by John David Cofield
William Williams, Morgan County, Alabama signed June 16, 1853, filed in Probate Court Dec. 11, 1854 "my grandson William W. Williams, son of Richard Williams, two Negro slaves Ann and Jane now Infant Children, the said slaves to remain under the control of my Executors until my said Grandson attains the age of Twentyone years. To the Children of Richard Williams by his second wife, the Sum of Twelve Hundred Dollars to be paid out of my Estate the sum of One Hundred Dollars annually to and for the benefit of Said Children, not to go into the hands of said Richard Williams. The remainder of my Property both Real and Personal to be divided into two equal parts, the one half to go to the lawfully begotten heirs of John Williams, the other half to go to the lawfully begotten heirs of William B. Williams. My two Sons the said William B. Williams and John Williams to be my Executors." Witnesses: D.C. Humphreys, Thos. H. Lacey, David M. Bush Sworn to and subscribed before William H. Campbell, Judge of Probate Court,Morgan County