I believe stolen base statistics are unknown until 1885, which cuts out a lot of the candidates.
John Ward led the league in steals in 1887 and 1892. He led the league in K’s in 1879. He stopped pitching in 1884. He was a full time player in the field for some of his pitching seasons and may well have led his club in both at once, but the missing SB stats before 1885 make this tough to prove. Somebody like Ward probably did it at some point. I can’t think of an example of the guys from 1885-on. Would love to hear if someone else knows, it’s an odd feat
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