Note: I've included the song Sam sings in the tower of Cirith Ungol for easy reference. It is Tolkien's, and not mine! (Though I'm sure you all knew that, but just to be safe...) The other is meant to be Frodo's reply: Tolkien writes that Sam heard a song in reply to his, but he does not say what the song was. Because Sam's song points out his hopeful nature so strongly, I chose to make these examinations of character, and have given them the hobbits' Elvish titles: Harthad Uluithiad, or Hope Unquenchable (Sam), and Bronwe athan Harthad, Endurance beyond Hope (Frodo).

Harthad Uluithiad
Hope Unquenchable

In western lands beneath the Sun
the flowers may rise in Spring,
the trees may bud, the waters run,
the merry finches sing.
Or there maybe ‘tis cloudless night
and swaying beeches bear
the Elven-stars as jewels white
amid their branching hair.

Though here at journey’s end I lie
in darkness buried deep,
beyond all towers strong and high,
beyond all mountains steep,
above all shadows rides the Sun
and Stars for ever dwell:
I will not say the Day is done,
nor bid the Stars farewell.

Bronwe athan Harthad
Endurance beyond Hope

Though light of Sun and glow of Star
are far beyond me here,
I’ll sing of lands I’ve known afar,
I’ll sing of lost friends dear.
I’ll sing aloud songs in the night,
though shadows low’r round me,
for Lórien still fair with light,
where grows the golden tree.

Though here the Stars are faded fast
and weary falls the night,
I offer all hope at the last,
for joy remains in light:
though all be ashes in the air
and blood beneath the lash,
my last mem’ry of aught that’s fair
I yield to fire and ash.