From The Collaborative International Dictionary of English v.0.48:
Handball \Hand"ball`\ (h[a^]nd"b[add]l`), n.
1. A small ball, usually made of rubber, thrown or struck
with the hand in various games.
[Webster 1913 Suppl.]
2. A game played with such a ball, as by players striking it
to and fro between them with the hands, or, when played in
a walled court or against a single wall, striking it in
turns against a wall, until one side or the other fails to
return the ball.
[Webster 1913 Suppl.]