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1902
Jimmy “Nixey” Callahan threw the first no-hitter in White Sox history, as he beat the Tigers. The Sox gave him all the runs he needed by scoring three in the first inning. The Sox won it, 3-0, in Chicago. The Tigers got one runner as far as third base, but that was it for the afternoon. Callahan walked two batters on the day.
Callahan was a two-way player for a good chunk of his career, from 1897-03. So at the time of this no-hitter in the 1902 season, he pitched in 35 games (0.9 bWAR) and played outfield in 23 others (-0.2 bWAR). By the 1903, he’d shift more or less full time to ... third base ... and put up a 3.0 bWAR season.
1908
White Sox pitcher Frank Smith tossed his second career no-hitter, beating the Philadelphia A’s, 1-0, in Chicago. The Sox scored in the ninth inning to win the game. The run was driven in by shortstop Freddy Parent.
This date, September 20, is the only day in franchise history where multiple no-hitters have been thrown.