I remember this one as a child:

It comes down the gutter like a piece of bread and butter diariah....diariah,

My mummy was'nt in so i did it in the bin diariah....diariah,

People think It's funny but It's really hot and runny diariah....diariah.

*The gap of silence between the first diariah and the second is equivalent to two syllables.
This was in the UK, so I'm not sure if it was in the US.
In my area, we use to add in between the diariahs "uh-uh",

So it would be:
It comes down the gutter like a piece of bread and butter diariah uh-uh diariah. etc.

But nobody else seems to know that one only those in my area from when I was younger.

Hope you liked it.