I can't find it now, but my favourite 'doctor on a plane' story was from an anesthesiologist who struggles to sleep on a plane, so on a long haul flight took something to help him doze off. He woke up to the 'is there a doctor on the plane?' call, and called the flight attendant over. It turned out that he was the person that they wanted to attend to, they were concerned since he was passed out and drooling on the passenger next to him.