Ours is “I Can Feel It” by a Canadian band called Sloan. No one, and I mean no one, in Texas has heard of them. We danced to it at our wedding a year and a half ago, and several people asked me about the song later. Good stuff 
You’ve got a thing for me, I can feel it, I can feel it. I’ve got a thing for you too…
Our backup is also by Sloan - called “I’m Not Through with You Yet.” Great slow dancin’ song.