Tony Bennett and GAGa did a great remake of the song several years ago.
But they used the correct lyrics, yes?
I have a CD called Beauty and the Beard which features Ann-Margaret and Al Hirt. They do a wonderful, flirtatious version of "Baby", and it is my favorite. And, it is my belief that this song is about flirting. Apparently, we do not "flirt" anymore; probably because the guy would lose his job.
Actually, the entire album was just fun. You could hear it in the voices as they were doing the songs that they were having a good time doing this album.