[looks at jackelope]
I betcha $20 bucks that I’m right and you are wrong! The correct answer is The Box- L’Affaire Dumoutier (Say To Me) (1984).
NoGoodNamesLeft?
Hmm… Possible, I guess. But “Norman Bates” certainly fit the OP’s description, even to the creepy video of the barn in a rainstorm and a deep-voiced narrator telling the story of Norman Bates and the people he’d killed. It scared hell out of me as a kid.
I’m here…sorry unable to look in until now…
No, it surely wasn’t ‘Norman Bates’. That was a hotel, and Norman emulating his dead mother.
I am going to look into ‘The Box’ song…that sound the most likely…
HOLY CRAP!!! WE MAY HAVE A WINNER!!! Using Fingolfin’s search terms in Google I found this link!
I am looking for this song now to verify…
THANK YOU!!! This has been bugging me, but now I know!!! The influence by Men Without Hats is pretty obvious now…
Thanks people…it is definately “L’Affaire Dumoutier (Say To Me)” by The Box.
Does this song creep anybody else out?
Rats.
Irish, actually.
Awesome, glad to help you out NoGoodNamesleft.
And yes, the song creeps me out as well. The video even more so! I remember watching the video when I was a young buck and being really freaked out by it.
O and ah Jackelope, you got my $20 bucks?
It’s in the mail, addressed to “Fingolfin, Maryland, USA.” Should arrive any time. 
Hehehehehe!