Humpty Dumpty?

Bottom line: I have a problem with this common nursery rhyme.

Humpty Dumpty sat on a wall,
Humpty Dumpty had a great fall.
All the king's horses,
And all the king's men,
Couldn't put Humpty together again.

Humpty Dumpty is portrayed as an egg. I therefore assume that all of the other people in the story are eggs. That would make the most sense. So, wouldn't there be like an egg doctor?

Also, the king sent horses to help an egg. That isn't suspicious at all. He send an animal to help out one of the members in his kingdom.

Overall, i just feels suspicious to me. The king could've done a little bit more to help out this egg. Also, who is to say that Humpty wasn't pushed!