My recollection was as follows:

Felix had a baby, had a baby boy.
He was like his daddy, so they called him Paddy.
Paddy took the whooping cough and Felix got the flu,
Paddy died, Felix cried,
Sat by the fireside,
Went to the funeral at half past five
but he keeps on walking still.
Keeps on walking, keeps on walking, keeps on walking still.