Okay, they are Canadian, but this is a great song anyway. From 1972, it's The Wackers and "I Hardly Know Her Name," the lead off track from their Gary Usher-produced power pop masterpiece Hot Wacks.
Seriously, this is one of the great founding artifacts of the genre. The best cut is an astounding and quite gorgeous version of John Lennon's post-Beatles "Oh My Love," done up so much like an Abbey Road track that it's been bootlegged for years as a genuine Fab four outtake. But almost everything else on the album is that good. Get yourself over to Amazon and order it now, for heaven's sake.