I know technically this makes sense, but it's always bugged me.
The news stories about a car crash "early Sunday morning".
If you're like me you scratch your head and think "I wonder what happened to make a person crash his car Sunday morning at 6 or 7 am?" No. . . you have to think more literal and realize they're using the actual clock definition of "Sunday morning". What everyone like me would naturally say is "Saturday night, after the bars closed, a car crashed." Now that makes sense.