They were probably doing equivalent things until more recently. My local barber has a retro sign hanging in his shop that looks to be an antique one from a barber shop probably in the 1800's. It lists 'tooth pulling' as one of the activities alongside har cutting and shaving etc.

Strangely, the tooth extraction didn't cost much more than a shave & a haircut - I wonder what sort of anaesthetic was used!? :)