During the war, many of London’s children were evacuated to avoid the frequent bombing. The suggestion by Lord Hailsham that the two princesses Elizabeth and Margaret should be evacuated to Canada was rejected by Elizabeth’s mother, who declared, “The children won’t go without me. I won’t leave without the King. And the King will never leave.”
Churchill managed to dissuade him only by saying "If you go, Sir, I will go as well."
"Britain can't afford you to risk yourself, Prime Minister."
"Nor you, Your Majesty."
(Paraphrased, but my source was one I would consider very reliable).