My mom sang this to my sister me with different words, same chorus. All we remember is:
A little boy went for a walk in the wood,
Wickity wackity walk,
To look for a leprechaun under a rock
Rickity rackity rock

My sister remembers a verse about w little man mending a clock, but can’t remember it all
I remember Dennis Day singing this on The Jack Benny show in the early 50s, it is not itunes