It looks like the shooting dates for none of those shorts are given in the book "The Three Stooges Scrapbook". So here they are:
Fiddlers Three - filmed from May 26, 1947 to May 29, 1947.
Fright Night - filmed from June 5, 1946 to June 7, 1946.
Out West - filmed from July 8, 1946 to July 11, 1946.
Squareheads of the Round Table - filmed from December 9, 1946 to December 12, 1946.
Hold That Lion! - filmed from January 28, 1947 to January 31, 1947.
Sing a Song of Six Pants - filmed from April 1, 1947 to April 4, 1947.
Heavenly Daze - filmed from June 23, 1947 to June 26, 1947.
I'm a Monkey's Uncle - filmed from July 28, 1947 to July 31, 1947.
Pardon My Clutch - filmed from May 19, 1947 to May 21, 1947.
The Hot Scots - filmed from December 16, 1946 to December 19, 1946.
These dates can show us some interesting insights. For example we see that the two "castle set" shorts (Squareheads ... and The Hot Scots) were shot in two consecutive weeks, Monday through Thursday in December 1946. One might expect that Fiddlers Three would also have been filmed on those sets around the same time, but that one was shot five months later. By the way, the Columbia feature on whose castle sets these shorts were filmed, The Bandit of Sherwood Forest, was filmed from March 20, 1945 to May 21, 1945. So it was a year and a half later that the Stooges shorts were filmed on those sets. So any stories we may have heard that the castle sets were about to be torn down right after the feature was finished and The Stooges had to rush to get their castle footage shot quickly before the sets were torn down, just doesn't make sense.
Also interesting to note is that in Squareheads... when Larry makes his reference to the popular Columbia feature The Jolson Story, that movie was currently in release, having a release date of October 10, 1946 and still playing at least through January 1947, according to one Trade Paper release chart. But by the time the Squareheads... short was released on March 4, 1948 The Jolson Story was no longer current, and even though it had been a big hit, may not still have been playing anywhere, in case Larry's mention of the movie might have inspired anyone to go and see it.
More fun with shooting dates:
In piecing together the chronology of events at the period of the transition from Curly to Shemp, the Columbia short Pardon My Terror has a place. It has been reported that that short was intended originally for The Three Stooges, but was rewritten and given to the two-man team of Gus Schilling and Richard Lane when it became clear due to Curly's health situation that he would not be able to do it. So for the record, here is the Production Number and shooting dates for Pardon My Terror:
4068 - Pardon My Terror - filmed from May 10, 1946 to May 14, 1946. Sure enough that is just a few days after Curly's final short Half-Wits Holiday was finished on May 6. And just one month later, on June 5 The Stooges are filming their first short with Shemp as the new member.