It goes by a lot of names, but the commercial version I know is Ballantines Script (a.k.a Dianna, or Goddess)

Oooops! Sorry. Let me retract that. I'll keep looking. It's not Ballantines Script.

Ok how about this -- it's called Andrea in the sample I have, but I suspect another identity. (I had it labeled as Dianna, but I can see it's not the same.)

Ive seen it before, by the name of 'Alison', as well..

Yes, I have just been hunting since you posted that. It turns out that 'Alison', which appears as freeware all over the web, is a modification of Dianna/Ballantines/Balladeer etc. The font files still have the orginal A and G included. Robert & Nancy Wall of Chameleon Graphics apparently re-drew those two letters and effectively created a new font. Those two letters are often the most distinctive, so that was a clever method to apparently create something new.

So I feel better that I was not far off with my first ID

Here is a quick rendering of the sample word using Alison. It needed serious tracking adjustments (and I need practice with outlining techniques). Below it is the same word with the original A (Shift-Option-A on Mac).