Practised as a Doctor of Medicine in Edinburgh and published Tantamen medicum de cantharidum historia ac usu, Edinburgh, 1769. It is unlikely that he died in 1783 as stated by Horn,W. and Schenkling, S. (1928) who seem to have confused him with William Alexander (1726-1783) the American general who claimed to be the 6th Earl of Stirling. Alexander published a number of works of medical subjects and a History of Women, 1779, in two volumes which was translated into French and German. He was known as William Alexander the Younger. (MD 7.01, 9/22)