Childhood Rhyme

I've heard this a thousand times. I learned it from my father, who learned it from his father, who learned it from his father. Dad would rock the babies and pat their bottom to the rhythm:

Mikie Bum Bike-y
Tee Lie Da Go Fike-y
Tee Legged, Tie Legged, Bow-legged Mikey

Or

Frankie Bum Bankie
Tee Lie Da Go Fankie
Tee Legged, Tie Legged, Bow-legged Frankie

Or

Brian Bum Bye-an
Tee Lie Da Go Fie-an
Tee Legged, Tie Legged, Bow-legged Brian