The Wood Library Museum of Anesthesiology presents a timeline of the history of anaesthesia  for the American Society of Anesthetists.

http://www.woodlibrarymuseum.org/history-of-anesthesia/#2014

William T Morton gave the first successful demonstration of ether anaesthesia at the Massachusetts General Hospital in 1846.

Less than a year later, William Russ Pugh did the same in Tasmania.

John Belisario, a dentist, also performed many anaesthetics in 1947 in Sydney.

These dates mark the beginning of extraordinary developments that led to what we know as modern anaesthesia.