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.

Fifteen Birds

Fifteen birds in five fir trees,
Their feathers were fanned in a fiery breeze!
But, funny little birds, they had no wings!
O what shall we do with the funny little things?
Roast ‘em alive, or stew them in a pot;
fry them, boil them and eat them hot?