Andrew B. Jones was born in 1890 in Tennessee, and earned his M.D. degree at Vanderbilt University in 1916. He completed a medical internship under George Dock in 1919 and served as a neurology resident under Sidney I. Schwab in 1920. From 1921-1922 Jones served as a resident in psychiatry at the University of Michigan in Ann Arbor. He then returned to Washington University School of Medicine to join the faculty, where he taught neurology and psychiatry until his retirement from active practice in 1965.
During the 1930s, Jones made a special study of the encephalitis outbreak in St. Louis, and published several articles on the subject. He was the chief of the encephalitis section of Barnes Hospital during World War II, and also served as a psychiatric consultant to the Selective Service Agency of Eastern Missouri. He was associated with numerous professional organizations during his career, including the American Psychiatric Association and the American Academy of Neurology. In 1980, Andrew B. Jones and his wife Gretchen endowed a Professorship of Neurology at Washington University School of Medicine. Jones passed away in 1981.