Out of all the "oh, you're from Scotland, do you know Hamish" questions, it was inevitable that eventually, I did actually know the person in question. This happened once, when I was in Australia.
I also seem to have a face that invites people asking for directions, wherever I am. I did have a rather confusing conversation with a man (of indeterminate nationality) in London who said he wanted to get to "Tower Bridge in half an hour". I directed him to the Underground station, but he insisted he wanted to walk. Fine, but it'll take more than half an hour. "No, but I want to walk there in half an hour". I chalked it up to 'lost in translation'.