Retire in Order (1884)

The Bostons continued to retire in order, mostly on flys, and then blanks were put in on both sides until the seventh ….The Boston Daily Globe, May 18, 1884, p3

Previous earliest use (Dickson Baseball Dictionary, 3rd edition, 2009):
1ST USE. 1892. “Griffin singled, but the next three batters retired in order” (Brooklyn Eagle, July 5; Peter Morris).