The classic story - apocryphal maybe, but with basis in how it was - was of someone who went to visit their friends who lived up country in one of the colonies, and when it was time to return, saw that train was at 12:00, and insisted on being at the station in ample time, over the protests of their friends, who said it was never on time; but there, at 12:00 was the train. So they said good bye and told you so to their friends, boarded the train and off they went. At which point friends rounded on the station master: 'What's going on, the train is never on time?'. To which the response was 'No, that wasn't today's train on time, it was yesterday's, 24 hours late'.
And an Amtrak story: railfan in (I think) Buffalo, NY, went down to the depot to see the (daily) train go through - which, after a couple of hours, it did. And when they were walking back to their car, the station man, who knew what them and what they were doing, called that there would be another in a couple more hours. Which there was. That was yesterday's train. The first one they'd seen was the day before yesterday's train. Today's train had been cancelled; the stock to form it hadn't yet arrived on its outward run... But there was several feet of snow on the ground.
