I remember this song from when I was little and it went like this.

Grandma had a Billy goat
She had it disinfected
It could have slept in grandpa's bed
But the Billy Goat Objected

Ho Hum the tune is done
The words don't mean a thing
Isn't that a silly song
for anyone to sing"

I googled it and only came up with some Snow White Lyrics, but these ones were not in that rendition.

I am looking for other verses if anyone can help.