This is an alliterative poem, ie when words start with the same letter.
Animal Poems 1
Story Poems 2
An aggressive alligator ate Anthony Able.
To tell you the truth, it hid under his table.
But Leonard the Lion, who liked alligator stew,
Ate the aggressive alligator and Anthony too.
Funny Poems 1
See: Alliteration, Assonance and Consonance