I know nothing about the film "The Claim" and almost nothing about the composer of the score, Michael Nyman. As another reviewer points out, there does seem to be a little Morricone influence in some of the cues, perhaps most due to the occasional soprano in the background on one or two selections. I hear more similarities to Phillip Glass' scores, most notably "The Hours," another great score, likely due to the musical soundscapes achieved by the layering and buildup of strings on top of strings, which occurs frequently through several tracks.
But any nods to Morricone or Glass, whether conscious or not, does a disservice to this haunting and romantic score which should stand on its own merit. After hearing the score, I was surprised to learn that the film was a Western. Virtually nothing in the score, except perhaps one selection, brings to mind any Western themes or motifs. To me, it is Western themed inasmuch as is "Duck, You Sucker" by Morricone. You would really only know it to be a Western if you were familiar with the film or had heard about it.
Nyman uses a heavily string laden orchestra, 16 or so violins, plus viola, cello and double bass, and just a few horns. The effect is heavily textured and the timbres become epic sounding, but, oddly, in a minimalist and haunting way, as opposed to becoming sentimental or "romantic" in the usual sense. The main theme, which is extremely beautiful and haunting and sounds slightly familiar almost as if it were a half-forgotten memory, is repeated in variations throughout roughly the first half of the album while the latter half tends to be a bit more sombre and in a more serious vein.
The beauty of this score has encouraged me to seek out other of Nyman's music, including his chamber music. Fans of Morricone's more esoteric work such as "Duck, You Sucker" or "Barbablu" or of Glass' forays into film scores such as "The Hours" should enjoy this evocative, yet very distinct, work by Nyman. I hope you give it a listen and enjoy it as much as I have.