Charlie wrote:

I can remember (barely) that when WIND in Chicago carried the Cubs in
middle 40's (or so) they would recreate a game whenever the Cub's game
was rained out. I believe the White Sox station would also do this on
rain outs. Both stations were very good at it. Crowd noise, hitting
something for the bat sound, etc.

Sounds a lot like what happened in an episode of the TV show "M*A*S*H" where
Frank bets on games he heard the results of the previous night on the radio.
Hawkeye creates a new game and gets Frank back.