I grew up in Ozone Park section of Queens, PS 60 and PS 110 area. We played this very similar variation and called it “off the point”. The community parkhouse had a lip of about 3″ that was the building footing. If the ball strike was perfect, the spalding would fly some 40 ft or so and score a HR…we would mentally score the game as well…single, single, double scored one run etc…..We would play up to three per team. Ground balls had to be caught, if error then that throw was a hit…Switching was always fun….where the third out meant teams switched sides quickly…catching the ball and racing toward the point to get a hit while teams were in transition.