Brooklyn side
n.— «If a righty’s ball hits just to the left of the head pin, that’s called a crossover or, in the vernacular, hitting the Brooklyn side. Why? Bowling originated in the East, and a lot of its jargon came from there, especially New York, said a spokesman for the U.S. Bowling Congress. Going between Brooklyn and Manhattan in the early 1900s was considered a “crossover,” so crossover and Brooklyn became linked over time; a crossover ball was said to have gone to the Brooklyn side.» —“Ask! East side, west side” Rocky Mountain News (Denver, Colorado) Dec. 19, 2006. (source: Double-Tongued Dictionary)
Further reading
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See this.
Makes sense to me.
(I got this from a google of brooklyn side- also where you came up)