[just another ref]

A lot of good points made here, but I hear no direct answer to the main question. In basketball rules, there are references everywhere you look about errors, officiating errors, scorer's error, timekeeper errors, and when these errors are correctable and how to do so. Apparently baseball has no direct reference to this matter?
e.g. Rule xx states: When it is discovered that the official score is incorrect after the umpire has yelled "Ball Game!" it is too damn late.
The day in question was indeed a comedy of errors. The confusion was much greater because our scoreboard was on the blink. Then we send 13 men to the plate in the second inning so it was a bit overwhelming for this lady who has probably kept a book 8 times in her entire life.