I came across these minerals in a very localized patch of soil on Mt. Olympus in the Troodos Mountains. Over about 14 km of hiking this was the only patch of land where I saw this red-brown coloration. The minerals reflect light somewhat like Muscovite.
Could this be iron staining or something related to chrysotile which is plentiful in the area? I did find some fibrous serpentine nearby that appeared partially iron-stained as well.