I don't think that it's a real song. I think it was a specially written clip.
http://www.van-halen.com/newsite/backfuture.html
says more about this:
This clip, which originally appeared in the 1984 film The Wild Life, appears in
Back to the Future when Marty McFly (Michael J. Fox) travels back to 1955,
and pays a visit to his sleeping father (Crispin Glover).
thanks to my mate chris aj