The poems listed here are from various writings of Tolkien.  Although the majority can be found in The Hobbit or LotR, some come from The Tolkien Reader.  Of course, I do plan on adding more in the future.   Note that not all the poems in Tolkien's writings have names.  I have given names to those that were without so as to make a distinction of it.

Attercop!

Old fat spider spinning in a tree!
Old fat spider can’t see me!
Attercop! Attercop!
Won’t you stop,
Stop your spinning and look at me!

Old Tomnoddy, all big body,
Old Tomnoddy can’t spy me!
Attercop! Attercop!
Down you drop!
You’ll never catch me up your tree!

Lazy Lob and crazy Cob
are weaving webs to wind me.
I am far more sweet than other meat,
but still the cannot find me!

Here am I, naughty little fly;
you are fat and lazy.
You cannot trap me, though you try,
in your cobwebs crazy.