I got my first record player for Christmas in 1969. I was 5. One of the records I got was the song you are referring to...I played it over and over...to this day, my older sister still remembers me singing "Santa brought Snowball home" at the top of my
lungs! :-D I wish I knew the name of it, but all I remember is the last bit of the end of the song...
I was just looking for this song too but I have some good news. My brother still has our album and he will be bringing it to me in a few weeks. I'll see if I can make a decent recording and post it for you. That song is a favorite of ours and I'd love to
share it if I can!