There is a song that my daughter (6 yrs. old) has on one of her music tapes - "Kidsongs Jubilee", I believe it is, issued by the Klutz people. I can't remember the name of the woman who sings it. Anyway, the song is called "Chicken" and the melody of at least the opening lines has some similarity to the old standard "Jada" (whereas, to my ear, the ABC posted above by MMario doesn't sound anything like "Jada"). I don't know how to do line breaks in this Mudcat "Reply to Thread" box, but here is what I remember of some of the lyrics:

Chicken, Chicken, you can't cluck too much for me.
Chicken, Chicken, now come down off of that tree.
Chicken, Chicken, Chicken, you can't cluck too much for me.

C - is for the little chick
H - is for the mama hen
I - 'cause I love that bird
C - for the cluck, cluck, cluck
K - for the kackle, kackle, kackle*
E, and the little N
C-H-I-C-K-E-N, that's the way to spell chicken
C-H-I-C-K-E-N, that's my friend the chicken

*of course, "cackle" is spelled with an initial "c", but the song is what the song is!

If this is the song you are looking for, Allan S, I could get the songbook that came with the tape and tell you the author, etc. Can't do it now because the songbook is at home.