Hiya.

Alan, were you using 3DS MAX? If so, I've found it to do some weird stuff sometimes; mainly, 'flipping' the normals of a bunch of polygons. To see if max is doing this, right-click on the viewport word ("Perspective", "Front", etc.) and look at your settings; make sure "Force 2-sided" is NOT checked.

My guess, off hand, is that the UV map is 'correct', but the actual model faces that don't seem to be getting the texture are 'flipped' (re: normals facing inward, not outward). Just a guess though...