Rundown Play (1904)

Halligan drew a pass, and when Gilroy caught him off first base there was a rundown play in which finally Crapo tagged the man but forgot the run to the plate.” Fall River Daily Globe, April 20, 1904, p3

Previous earliest use (Dickson Baseball Dictionary, 3rd edition, 2009):
1ST USE. 1908 (Spalding’s Official Base Ball Guide, p. 69; Edward J. Nichols).