Here is the version we learned in the 50s:

There was a little frog who lived in a spring
Sing song kitchy kitchy kimeo
He had such a cold, he could not sing
Sing song kitchy kitchy kimeo

Kemo, kimo die ree row
Rub stub puppy diddle lip cat sip cat
Billy billy boot jack
Sing song kitchy kitchy kimeo

Old Aunt Dinah, jumped out of bed
Opened the window, poked out her head
A snowball hit her in the eyeball square
"Take care ya' little darky don't you do that again."

(Obviously sung in a different time/place when sensitivities were muted toward racial issues.)