Hi Vilters...I was just increasing render settings at the time to see if it improved.  It was the suggested "Very high quality" settings.  0.2 is good for me.

SSS is enabled, and it may be the cause.  I just turned off shadows for everything but the rim light coming from left as you look at the pic, and still get this effect, as seen in the pic.

I am going to have to see how I put them in different groups.  That does not strike me as something that I know how to do offhand.

I did not turn on smoothing for anything, so if its on, its on by default.  Smooth Polygons is checked in my render settings though.