In the short story The Shadow on the Glass, the Eveshams are a couple who were once house guests at Greenway's House and who occupied the room by the west wall. This room had a window which had a certain pane of glass in the window with an irregular stain which from far away gives the effect of a man's face looking out. According to Mr Satterthwaite, this room had the reputation of bringing bad luck. The Eveshams stayed there just before their divorce.
The Eveshams do not appear in the story in person and are mentioned only. They may or may not be Tom Evesham and his wife Laura who feature in the Harley Quin story written just before this one.