Please refer to WW II GenForum entry # 757, which was my response to a similar inquiry, and which will provide you with an accountof the division's operations up to 9 June 44.
I will extend the narrative to include the approximate date of 29 Oct 44, and to war's end, 2 May 45..
The 133rd took Tarquinia on Hwy. 1 on 9 June 44, then was engaged in the Battle of Cecina from 30 Jun to 2 Jul 44.
The division reached the Arno River 22 Jul 44 and regrouped. It began its attack on the Gothic Line on 10 Sep 44. From 13-21 Sep 44 the 133rd was in Battle for Torricella Hill.
It took Montepiano 23 Sep 44. This was the end of the German's defensive alignment known as the Gothic Line.
As I previously stated, the offensive against Bolognadidn't start until 15 Apr 45, with the division fighting past Gorgognano Ridge, Sevizzano Heights and Drei Mori Hill, with the 133rd capturing Bologna 21 Apr 45.
The division was at the Ticino River,northwest of Milan, when the Germans surrendered in Italy 2 May 45.
From 26 Jun 44 it was assigned to IV Corps. From 24 Jul 44, Fifth Army. From 9 Sep 44, II Corps From 23 Apr 45, IV Corps
The division was under the command of Major General Charles L. Bolte from Jul 44.
That is about all I can relate about the 34th ID, 133rd IR.
I have no doubt that the incident you describe concerning the troops being trapped and killed in the stone farm house, actually took place.
My only doubt is that it did not take place where the informant stated, for as you can see, the unit was not in that area until several months later