Exactly, and I think I can claim that here too. After having switched the op amps to make sure the one in the "non-working" unit was operable, I went from component to component comparing them to make sure everything was in its right place, and more importantly, that their polarities were correct. Despite the led in the working unit being reversed, everything in the "non-working" unit appeared to be installed with the correct polarity. I flipped it over at that point, and did more investigations of the solder work. I touched up a few things which I honestly doubt were bad, but did so anyway.
Here's the thing, when I went to test it, I noticed that I hadn't put the op amp back in from when I had switched them. I'm a total, total newb when it comes to this stuff, the only other things I have soldered were back in eighth grade shop and none of them worked. My point here is that I tend to be a little timid with the PCB board and components. In putting the op amp back in, it clicked a little more firmly than I had originally set it into the millimax sockets. Between not putting it in fully, and the slight angles on the pins, I don't think it had originally been making contact.
Having done this, when I fired it up it worked fully and perfectly and sounds identical to the first one. The stereo set is up and running and I couldn't be more pleased! Thanks Jeff, for the help on the led and getting me moving in the right direction!
Jeff