Cindy--

There's an old Appalachian string band song with this title, but I'm not certain that it's the one you're looking for. Does the chorus go something like:

C-that's the way to begin--
H-that's the next letter in--
I-that is the third--
C-that's the middle of the bird--(or word)
K-fillin' in--
E-gettin' near the end--(N)
C-H-I-C-K-E-N--that are the way to spell chicken.

Sound familiar?