[Origin unknown; ? related to BOUNCE.] a. A large marble for playing with. b. A game played with such marbles.
1862. Yng. England, I. 141/1. Bonce is played with very large marbles. One boy pitches his bonce, and another tries to strike it, each throwing by turns.
1865. Furnivall, in Reader, No. 146. 420/3. Little boys playing at bonce.