I have checked the map, and find that Prato is just above Florence.
I was in the field artillery and in a winter position at or very near Prato from 14 Jan 45 to 13 Apr 45, when the Allies pulled out of the North Apennines, heading for the Alps.
I recall a large German bunker to the rear of our position. Our gun positions would have left holes in the ground, but there were no fox holes for individual soldiers.
There are probably dozens of similar sites in that part of Italy, for the war stalled along the Gothic Line, above Florence, for an extended period of time.
My battery of 22 men lived in a partly burned out farm house, with military sleeping on the upper two partial floors, and the family living in the lower intact floor. I recall farm animals sharing these quarters.
I cannot locate the other towns you mention on my reference map.
As you may imagine, I am looking forward to seeing your photos of the area.