I listened to the "Three Stooges" tune too but couldn't identify it,
although it did sound familiar. But I'm getting so that every tune I
hear sounds "familiar."
Since it has been played in several public performances, it ought to be
possible (if you go to the trouble and find cooperative people on the
other end) to find out from the clearances department of the radio or
TV station, if the performance originated as a broadcast, or the
equivalent department at the movie studio, if it was used in a film,
exactly what the title of the tune is.
These companies don't dare use a tune unless they either know it is
public domain material or have gotten the necessary permission to use
the tune from its copyright holder. Somebody somewhere who watches out
for the company's legal interests has filed away that information. The
trick is to get them to dig it out for you. Of course it is relatively
easy if the performance was a recent one and you can furnish the exact
date, time, context, etc. that will make it easy to do the digging for
Broadcasters get these queries all the time and are used to handling
them. I don't know about film studios though. I suppose they must.