It's All Coming Back to Me Now - Single
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This sounds more like Meat Loaf and Marion Raven from BOOH 3 than the Band. iTunes needs either to  get the artist straight or  use a clip that sounds like The Band.
It's All Coming Back to Me Now
As I recall this song was recorded by several artists. Meatloaf isn't one of them but I think he did another song with that line of lyrics. If the sample was longer I think I'd recall - a strong female voice, someone Like Laura Brannigan, that quality of voice. I doubt that "The Band" had the hit on this song; it's not their type or sound. Just my opinion...
Careful, folks, I'm pretty sure this is NOT the Band.