Goughs 30 day account is in the war diary and that is as good as the month of May gets-There is nothing else. There may be some snippets in the Missing Men file for the battalion but they can be few and far between. The rest of the diary still exists which covers Sept 1939 to June 1940. It contains 237 pages inc Goughs account. I suspect TNA will charge you around £250 for a copy. I can let you have a copy for £23.70.