ball alley

noun2

1. •
   (Ireland) A place for playing handball, ranging in structure from a patch of hard flat ground beside a gable to an indoor four-walled court similar to a squash court.

   • A portion of it was still further desecrated ; up to a very recent period being used as a racket-court, or ball-alley — 1855
2. •
   (US, no longer used) A bowling alley.

   • [I] knew [Herman Melville] when he was setting up pins in a ball alley. — 1849