Listen to I Saw My Baby Kissing Santa Claus online. I Saw My Baby Kissing Santa Claus is an English language song and is sung by Jimmy Charles. I Saw My Baby Kissing Santa Claus, from the album I Saw My Baby Kissing Santa Claus, was released in the year 2012. The duration of the song is 0:32. Download English songs online from JioSaavn.