2001, yes.
I was going to say it was only 13 years ago, but that speaks to more how old I am than anything else.
You mis-understand - if it wasn't recorded for Lord of the Rings movies, it was most likely recorded for something else and just labelled up as Lord of the Rings by your brother.
It'd be like searching for Europe's The Final Countdown in the Shinseiki Evangelion OST because somebody made an AMV of it.
So far, we have a choir singing in an non-English language (possibly Quenya - I apologise in advance if you actually know it was Quenya), a flute, drums (and two lines which sound like "turi turi turi anay anay aaaah" and "anah unay anay aah, wei-eeeeeeiiii, anah, anay, anah, anay-aaaaaaaayyyyy" ).
Try "Lord of the rings music -shore" to eliminate anything by Howard Shore from your search.
I've just plugged that in and found a variety of LotR inspired music, for example: Music Inspired by The Lord of the Rings.
The wiki page of Works Inspired by Tolkien has a music section: link.