I grew up in Woodside Queens in the 60’s and we played a game where a guy would hit a ball with the bat and if you caight it on the fly, you were up. If you didn’t catch it, whoever got the ball would roll it toward the batter (who had to lay his bat on the ground). If you either missed the bat or hit it and the batter caught the ball before it bounced, he hit again. If the batter missed the ball after it hit, you became the hitter. I tried to bring the game to Long Island when we moved to the burbs but it couldn’t compete with baseball fields.