@ catkin -- thank you for your response
I had been making some test changes to the Xfce anti-aliasing settings last night, but was sort of stumbling in the dark and not really knowing what to look for. And after a while, looking at those test-images gets really hard on the eyes!
@ paulsm4 -- Thanks!! The link you provided was *definitely* useful, and as best as I can tell, I DID learn what the layout of my monitor is ( and again, those test-images are really screwy on the eyes :| )! It appears that, as my monitors both have the ability to rotate 90'CCW into a "portrait" orientation, the mfgr decided to make the subpixel ordering "Vertical RGB" so (I guess) they planned on people mostly using it in the portrait orientation. Seems odd to me; the rotation ability is more a novelty to me, and one which I don't use; I have the monitors both in "landscape" orientation (as I suspect most people want wide-screen monitors for anyway!).
By looking at the test image at the link you provided, I can see the thin black line on the UPPER edge of that test image, which = V-RGB. So, I followed their advice: I set Xfce settings to "medium hinting + V-RGB", as well as adjusting my browser fonts a bit, and I can honestly say, WOW -- What a difference! I had been thinking what shi**y fonts I was seeming to have, and when scrolling a text page in Firefox, the font would kinda fade badly & be sketchy-looking. It is much improved now.
For the record: Samsung 2243WM LCD seems to be "Vertical-RGB" sub-pixel ordering. I consider this solved, and am going to move this thread to /Hardware.
Thanks to you both!