On March 20, 1934 — 1934 – Mildred Didrickson (also known as Babe Zaharias), the renowned all-around female athlete, pitches the 1st inning for the Philadelphia Athletics in a spring training exhibition game against the Brooklyn Dodgers. She gives up one walk but no hits. Two days later she pitches again, this time one inning for the St. Louis Cardinals against the Boston Red Sox. Didrickson is less successful the second time, giving up four hits and three runs. Bill Hallahan relieves her, as she does not have an at bat in either game. She will also play several games for the House of David this season. Didrickson is the second female to play exhibitions with a major league team. Previously, first baseman Lizzie Murphy played for an American League All-Star team on August 14, 1922.

Sources –
Baseball Reference March 20
SABR Games Project
National Pastime March 20
Retro Sheet
Replay The Game

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