If you're able to visit in person, the Jeudwine Papers in Liverpool Record Office (upstairs in the Central Library) contain many of the MM citations for 55 Division. The files you're looking for are coded as 356/FIF/6/6/18 (1-7) 'Immediate Awards, 165th Infantry 1/7th Liverpool Regiment'. You need to contact them a couple of days prior to visiting, as they won't bring items up from storage on the day. If you're not already a member of a Liverpool Library, bring two forms of identification with you. They have no objections to people photographing records provided you don't use a flash.
Edited to add: They also have the post-combat reports completed by every platoon, and some cases section, for the Third Battle of Ypres. He may get a mention and may even be the author of one- many of the medal recipients were asked to write a report of their deeds. The relevant files are 'Narratives of 'A' Company, 1/7th Battalion, the King's Liverpool Regiment 356/FIF/2/2/74'; for 'B' Company etc- 356/FIF/2/2/75, 'C' Company is 356/FIF/2/2/76 and 'D' Company is 356/FIF/2/2/77
I think the above are for 20 September (catalogue doesn't say) and the ones for 31 July are 356/FIF/2/2/12 all the way through to 356/FIF/2/2/19