When Alexander Stephen Williams was born on 7 January 1847, in Gainesville, Hall, Georgia, United States, his father, John Graham Williams, was 42 and his mother, Sarah Ann Baker, was 42. He married Nancy Caroline "Nannie" Stockton on 21 December 1869, in Morgan, Alabama, United States. They were the parents of at least 4 sons and 2 daughters. He lived in Hall, Georgia, United States in 1860 and Alabama, United States in 1870. He registered for military service in 1927. He died on 25 October 1928, in Higginsville, Lafayette, Missouri, United States, at the age of 81, and was buried in Gainesville, Hall, Georgia, United States.