Here's the breakdown:
* Badminton House was the home of the Duke of Beaufort, who was a keen player of the game, which was initially known as "battledore and shuttlecock".
* In the 1870s, the game gained popularity in the Badminton House area.
* It was then that the name "badminton" was coined, likely as a reference to the place where it was frequently played.
Interestingly, the game itself was not invented at Badminton House, but it became closely associated with the estate and its inhabitants. The name stuck, and the sport eventually spread across the globe, becoming a popular pastime and competitive sport.