World War II photos of Barnham windmill

I've been sent these photos which come from the photo collections of several US Army Air Force veterans who served in the 487th Bomb Group at Lavenham, England, in 1944-1945. It's not a mill I recognise, but is assumed to be fairly local to Lavenham since it appears in at least 4 separate collections.

The fourth photo shows Basil O'Connor (fifth from the left), head of the American Red Cross, visiting the airbase near Lavenham, England, during World War II. Notice the photo hanging on the wall at right. It looks to be the same as the first photo, so these photos may have been taken by a 487th Bomb Group photographer.

Please let me know if you can identify the windmill.