I have just found this snippet in a novel called Heretics written by Hugh Slater, who served in the British Battalion:

Once during the night Simon heard "Tipperary" away ahead and intermittently some Americans behind were singing "There was a Jew of Jerusalem. Hi Ho Jerum." Simon was in the English anti-tank battery and an hour before they left the ...

The novel was written in 1947.Here are two links to novel snippets
Snippet one
Snippet Two

Biographical note on Hugh Slater