In the first game of a doubleheader on August 31, 1915, Cubs pitcher Jimmy Lavender threw a no-hitter against the New York Giants, a 2–0 victory. He struck out eight batters and walked just one. On June 14 of the following year, again against the Giants, Lavender pitched a one-hitter, allowing only an infield single to Benny Kauff.
Jimmy Lavender, 1912 (Library of Congress)