Song is by Tommy Sands. I have most of the lyric written down somewhere. I'll have a go at looking for it. I sort of remember a few more lines. I believe the song was written for a musical production or TV/radio show or something like that

Humpety Dumpty was pushed/ Head over heels right over the wall

Humpety Dumpty was pushed/ Nobody knew it at all

All the kings horses and all the kings men

Gathered around him and kicked him again