I'm not yet brave enough to compose in public, but I'll take this as a reference challenge to list the poets who correspond to the lines off the top of my head:

The Owl and the Pussy-Cat went to sea..
Edward Lear

I know what the caged bird feels, alas!...
Paul Dunbar, inspiring Maya Angelou

I wandered lonely as a cloud...
Wordsworth

How do I love thee? Let me count the ways...
Shakespeare

Drink to me, only with thine eyes...
Ben Jonson

`Twas brillig, and the slithy toves...
Lewis Carroll