In Reply to: Bat, Bat, come under my hat posted by Eileen Tragert on May 30, 2008 at 08:32:
: Would you know what is the origin of my childhood phrase "Bat, Bat, come under my hat and I'll give you a slice of bacon". There was another verse, but my 78yr old memory-base has forgotten it. Enjoy your website.
Bat, Bat, come under my hat
And I'll give you a slice of bacon.
And when I bake, I'll give you a cake,
If I am not mistaken.
Seems to be the most common version. Most sites just list it as a nursery rhyme though one article I found attributes it to the poet William Allingham.