This is a piano arrangement of The Shire by Howard Shore, a cue from The Fellowship of the Ring. You won't be able to hear the cue on the regular soundtrack, but only on the Complete Recordings edition of the score.
This was pretty fun, I hope you enjoy it :]
Also, the sheet music to this, as an exception, is free of course. I don't own the copyrights to the original music lol. (See my news post)