Ok, to add to the confusion, after trying various other HDRI maps, I reopened the first HDRI I tried with my scene and model.  This was the one that rendered the model blue but had transparent brows and lashes.  Now the brows and lashes are not transparent so some thing screwed that up.  It could be now that the brow and lashes would render transparent with the other HDRI maps I tried but something got tripped up and won't fix itself until I likely start a fresh document and reimport the Poser model.

I'm going to start over and try one of the maps that didn't render blue... and see what happens.

Bother....  Here's another question I wondered about.  Do some HDRI maps work with Carrara while others don't.  Is there a type that's usuable and one or more that are not?

David