
The illustrations set the classic nonsense poem taken from "Through the Looking Glass" in medieval times.
When you get past the level of limericks and children's poems level, suddenly you have interpretive choices to make because the precise flow and timing of sounds can work different ways and some work better than others, and as a reader you have to bring an interpretive faculty to these works. When you get to something like John Donne's poetry, you're now deep in "every bit of timing and inflection matters."
For children's poetry to get started, Belloc's 'The Bad Child's Book of Beasts' or the Looking Glass Book of Verse are high quality collections. Then it's worth getting something like a Norton Anthology of Poetry as a way of reading very widely very quickly to find out what appeals to you right now, and explore that further.
Many people recommend the Oxford Book of English Verse. I don't, because I think Quiller-Couch had insipid taste and his editing ranges from the uninspired to the positively atrocious (what he did to John Donne's 'The Ecstasy' is horrid). I have found Garrison Keillor's 'Good Poems' to be particularly approachable, high quality collection of verse. I also suggest Ezra Pound's 'ABCs of Reading', though you shouldn't take what he writes about Chinese as anything other than a metaphor for his topic at hand.
Spend time with Shakespeare, of course. I recommend the Oxford complete works. I do not recommend the Yale complete works. Did my wife and I have a tiff about that? Yes, we did. Was I able to demonstrate by reference to passages that I was right? Yes. Do we only have the Oxford in the house now? Yes.
Robert Frost's complete works are cheaply had and a necessity for someone studying modern poetry. Two or three poems of his are butchered in every school class, and the full range of what he worked on is generally ignored, because it can require a very finely tuned ear to hear and interpret the force that his longer, narrative poems can produce.
But really, once your ear starts to come together, dig through the Norton anthology and use it as pointers to further things to read.
If names fit well with what a person already knows, they can aid memory and even impart understanding. If names are poorly chosen they can instead confuse.
’Twas brillig, and the slithy toves Did gyre and gimble in the wabe: All mimsy were the borogoves, And the mome raths outgrabe.
“Beware the Jabberwock, my son! The jaws that bite, the claws that catch! Beware the Jubjub bird, and shun The frumious Bandersnatch!”
He took his vorpal sword in hand; Long time the manxome foe he sought— So rested he by the Tumtum tree And stood awhile in thought.
And, as in uffish thought he stood, The Jabberwock, with eyes of flame, Came whiffling through the tulgey wood, And burbled as it came!
One, two! One, two! And through and through The vorpal blade went snicker-snack! He left it dead, and with its head He went galumphing back.
“And hast thou slain the Jabberwock? Come to my arms, my beamish boy! O frabjous day! Callooh! Callay!” He chortled in his joy.
’Twas brillig, and the slithy toves Did gyre and gimble in the wabe: All mimsy were the borogoves, And the mome raths outgrabe.
This makes me wonder something specific.
Let's imagine that we generate poetry "in the style of Lewis Carroll" around a particular nonsense word, one that hasn't been written down before.
Will that poetry treat the word as if it has one consistent pronunciation?
(This question doesn't quite apply to Jabberwocky - Lewis Carroll himself would obviously have passed the test, but he doesn't reuse his nonsense words.)