Base Hit (1870)

“He  [George Keerl] also batted finely, standing next to Wood in the matter of base hits.” Chicago Tribune, Augusst 5, 1870, p4

Previous earliest use (Dickson Baseball Dictionary, 3rd edition, 2009):
1871. “Each nine made 13 first base hits” (The Cleveland Morning Herald, Aug. 14). 

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