John,
I recently had a glance at a copy of "To The Last Round". Amongst other things it tells us that LEI 8 was the 8th (Market Bosworth) Battalion. That Battalion had six Companies of which "D" had platoons in Barwell, East Shilton, Thurlaston and Desford/Newbold Verdon and a fifth described as "Aerodrome Platoon" based at "Desford Aerodrome and Factory".
Elsewhere in the book is an image of the Enderby platoon and I think that that village has been mentioned in this thread.
It looks to me as though a thorough examination of this book might be useful to you. There is a lot of (unindexed) information within it which, with your knowledge of the area, might give you further clues in solving your mystery. It is readily available on Amazon UK, both new and second-hand, and I should imagine that some of the possible suppliers will ship to France.
Chris