From "Martin Said to His Man":

I say a mouse chase a cat,
Fie, man, fie,
I say a mouse chase a cat,
Who's the fool now?
I saw a mouse chase a cat,
Saw a CHEESE eat a rat!
Thou has well drunken and who's the fool now?

And isn't there an old English Music Hall shoplifting number with the refrain "me eggs, butter and CHEESE"?