Ist Army cerainly were in Italy, my dad was there. I have been singing D Day Dodgers for about 35years now. When I first learnt it and sang it for the benefit of my old man he told me of another song that the troops sang. This was largely, but not entirely, to the tune of Villikins and his Dinah. As this was some 25 years after the end of WW2 he could only remember a bit which went as follows:-

"Now you've all heard of Churchill and his famous cigar,
And no doubt you've shuftied the native bazzar,
But the story I'll tell you is really quite true,
How Field Marshall Rommell got knocked in the blue.
Too-ral-oo, too-ral-oo,
How Field Marshall Rommell got knocked in the blue.

The Highland Division went in with the steel..."

and he could not remember any more