It was popular during the early 20th century for players to leave their gloves on the field while they were at bat. Not all the players did it, but quite a few did. In general, the outfielders and middle infielders would leave them in the outfield and the corner fielders would drop them in fair territory.
You can see the practice in old films such as When it was a Game and World Series DVDs – through the 1953 series.
This caused surprisingly few controversies over the decades. The most recent controversy stemmed from a game on July 12, 1952 between the White Sox and Senators. Washington was trailing 1-0 in the fifth inning when White Sox shortstop Sam Dente, making a play on a ball hit by Jim Busby, tripped over Pete Runnels’ glove which was laying in short left field. He was charged with an error which would have been the third out. The Senators then scored twice to take the lead and eventual win.
Dente, not the glove, was roundly blamed:
Washington Post 7/13/1952
A rule was agreed to on November 3, 1953 to eliminate the practice.
New York Times 11/4/1953
The Sporting News 11/11/1953
Some were quite preturbed by the change of custom. The Texas League tried to repeal the new rule citing that it cause a delay in game:
Washington Post 3/27/1954
Others, like the TL, wanted to buck the system as well:
Chicago Tribune 4/15/1954
Hartford Courant 4/17/1954
The Sporting News 4/14/1954
The Sporting News 4/21/1954