I Saw Mommy Kissing Santa Claus

Ok, this song was on and a debate broke out. My wife says she realized that the song is about "Mommy" actually kissing "Daddy", but I maintain that there is no evidence of that and that she is actually kissing Santa. Not that there is any kind of sordid intercontinental love triangle going on, it's innocent, but I think it is actually Santa the song is referring to. I searched the internet but came to no definitive conclusions. The second verse of the song references Santa's white beard, and the original cover art features a traditional Santa, so I maintain my original opinion. What do you think?