This is something I posted on the SABR-List.
David Smith provided a Retrosheet link that has known occurrences of this happening. See Non-Pitchers on the Mound.
I sorted that table by date and then compiled the number of cases by time period. Here is what I got:
1898-99) 13
1900-09) 81
1910-19) 80
1920-29) 62
1930-39) 39
1940-49) 51
1950-59) 36
1960-69) 24
1970-79) 17
1980-89) 58
1990-99) 48
2000-09) 52
2010-19) 304
2020-25) 588
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