Bumble-puppy - also known as tetherball - was a game for two players who use their hands to hit in opposite directions a ball that is on a length of rope attached to the top of a pole. The object of the game is to wind the rope completely around the pole. If Deryn Lake's novel 'Death at St James's Palace' is to be believed, it seems to have been in existence in the 1760s at the Queens Head in Marybone (Marylebone) Park, London.
We had an identical game - using a tennis ball on a metal pole - which we used to play at the caravan but we called it swingball.