To briefly touch on my only other professional encounter of this insane sort, in 1997 I was taking call for an Epilepsy Monitoring Unit. The night nurse was named Sue and, while a good nurse, she was unusual to say the least.
Anyway, one night I'd dozed off at home in bed, and was woken by Sue.
Dr. Grumpy: "This is Dr. Grumpy."
Sue: "This is Sue, in the EMU. She's dead."
Dr. Grumpy: "Oh my God! Who? Mrs. McFadden in room 3?"
Sue: "No. Princess Diana."
Dr. Grumpy (still a bit drowsy): "Is that the lady in room 4? I thought she went home yesterday."
Sue: "No, Princess Diana, ya know, the British royal family and all. She died in a car crash."
Dr. Grumpy: "You paged me at nearly midnight to tell me this?"
Sue: "I think it's important."
Dr. Grumpy: "Are the patients okay?"
Sue: "Yes, I haven't told them yet."
Dr. Grumpy: "Please don't and let them sleep. Good night, Sue."