To clarify for the Original poster. The uv map does not change if morphs are applied , or you make a new morph . You may get some texture stretching if its an extreme morph but thats all.

You can use the free uv mapper to display and save a texture template for anything already mapped.

The "open faced map" is eaither a texture to be applied , and they are in runtime/textures/vebdir_name folder , or its the UV map template whaich you can get a copy of from Daz or using uv mapper.  Its referred to in some applications as  pelt mapping.