@George,
Yup, a pinky or white rubber ball (with the stars) about the size of a tennis ball. They cost 10 cents...somewhere around '64.
After it got punctured, we'd cut in half at the equator and invert it. Then we'd attempt to hit it with our skinny broomstick handle bats. That pitched ball (often side-armed) would take such an erratic path to the plate and curve or dip - almost impossible to follow much less hit. Anyone that could hit it undoubtedly was a hitter on an organized baseball team.
Oh yeah, the manhole cover in the middle of the street was home plate.
Then for us city-kids...there was stoop-ball...where you would bounce the ball off the stoop and ... and...oops ... I forget the rest of the game. Was it to see if you could catch it?