What is the poem limerick queen?

There is no widely known poem called "Limerick Queen". It's possible there is a less known poem with that title, but without more context, it's impossible to find it.

Perhaps you are thinking of a limerick *about* a queen? Here is an example:

There once was a queen quite so bold,

Whose stories of battles were told,

She fought with her might,

And won every fight,

A queen who was brave, young and old.

Let me know if you have any more information about the poem you are looking for, and I'll do my best to help!