Here you have an early game name in France "le volant" modern game of badminton developed in the mid-19th century among the British as a variant of the earlier game of battledore and shuttlecock. ("Battledore" was an older term for "racquet".)
In this wonderful game you have the 2 rackets and 2 birds unfortunately (all the array are missing you can see some of them in the box, the small rounded end is in wood). Rare display for your doll