Since the island was in the possession of the Frasers of Lovat for over 600 years, and this mansion was only built in 1838, I suppose that qualifies Eileanaigas House as 'a new build'. It was a second home to the clan chief when Beaufort Castle was undergoing repairs after fire damage, but for mention of other notorious residents see http://en.wikipedia.org/wiki/Eilean_Aigas