Bad ground??...all the relay is doing reversing the polarity on the relay (I speak from knowledge of the 70 Charger relay). How do you shut off your headlights?

I know that if you shut off your engine first and keyed 12v are off with the headlights on, then shut the headlights switch to the off position, the lights stay on for about another minute due to the Headlight delay relay. maybe you have one of those in your system and it is faulty.

If you shut off your headlight switch first then the engine, do your headlights shut off with the eyelids raised?