MRCS Eng 1848, LSA 1848; MD St Andrew's 1858; FRCS Eng 1862.
Fletcher was a student at Royal Manchester School of Medicine. Around 1851 he joined the staff of the Chatham Street Medical School where he (along with his brother John Shepherd Fletcher) was a lecturer in anatomy, a position he left around 1857. Fletcher was surgeon to the Manchester, Sheffield and Lincoln Railway Company and to the police force for sixteen years before being appointed surgeon to Manchester City Gaol in the mid 1860s. He held this appointment until his death on 14 September 1874. Fletcher also had an extensive private practice and was president of Manchester Medical Society in 1870.