Overrun (1867)

Hubbell, in saving himself from overrunning his base, fell, and sprained the cords back of his left knee quite badly, so that he was considerably lamed, and Latta ran his bases.Daily Courant (Hartford), June 27, 1867, p8

Previous earliest use (Dickson Baseball Dictionary, 3rd edition, 2009):
1ST USE. 1870. “[William] Craver’s eagerness led him to overrun the base, and [Everett] Mills, having recovered the ball, secured him after all” (Chicago Tribune, July 24; Peter Morris).