Hmmmm. I never heard know your "Over the river to Charlie's", but just a suspicion: could that be a variant of "Wheat in the Ear" aka "Weevily Wheat"? One version of that song has some lines:

I don't want your weevily wheat.
I don't want your barley.
I want some flour and half an hour
To bake a cake for Charley.

There are lots of verses and lots of variants. The chorus usually goes something like:

Wheat-in-the-ear, my true love's posy blowin.
Wheat-in-the-ear, I'm goin back to sea.
Wheat-in-the-ear, I left you fit for sowin'
When I come back, a loaf of bread you'll be.