svdl, UVMAPPER sounds like a great suggestion I will have to look into that !

---

Quote: First of all, you have to have the Customizer in order to use FG with other models***.

Sure, but I'm not using FG with other models!
I'm using FG models. I'm pretty sure, that sort of makes pretty much everything you just so interestingly and helpfully put forth... based on a moot point. Thank you, though, and apologies if I have misunderstood you. It's definitely not my intention to be dismissive of the good info, and effort you are putting out to help me.  

Listen everyone, I will update you when I get to the bottom of this, I promise.
The following summary may help us really understand what's happening:

Facegen is a package made especially for exactly what I am doing. I am not using another package, including Customizer, nor should I need to. This process (FG to Poser, with morphs)  has worked fine before for me, at least once, (and I can prove it ha ha! with a poser file on my machine, an FG generated head of Clint Eastwood with all the morphs, working perfectly, done by myself)  and so strange as it may sound I have confidence that the fix is some little thing, I (or we) just gotta find it (again). With my memory, I should take better notes :)

The head models are made entirely and automatically by FG. The neutral expression and all the morphs are always based on the exact same mesh, the vertices are always the same order.  I am only bringing into Poser, nothing out of Poser, ever.  And nothing into Facegen, ever.    
Thank you all very much for your input! Ain't learnin' fun?