Growing up in the fifties, we heard this version.
Alice, where art thou going, upstairs to take a shower
Your form is like a toothpick
and you hair is like a (mat?)
Alice got in the bathtub and she slipped on the soap!
Oh my goodness oh my soul, there goes Alice down the hole!
Alice, where art thou going.
Second verse starts:
Some call for the plumber

We had a 78 record with these words and we have never been able to find a copy. It was on Columbia we thought or on a record with a blue label like Columbia. Any ideas? both my brother and I remember exactly the same wording. Thanks