I don’t know if it is possible, but perhaps the SD can try to ID a popular classical piece by its use? It appears in many cartoons when there is a domestic scene, like Bugs Bunny doing housework or laundry. Or, it may be a cartoon character caring for a baby (like, as an example, Sylvester the Cat dressed up as a baby to fool Granny to get at Tweety yelling “Baby wants pretty birdie!”). Again, these are just examples where this music MIGHT be played in the background, but I am not saying it DEFINITELY is.
One more clue: It is totally a piano piece, no other instrument.
Any guesses?