OK, it's fixed. What fixed it? I really couldn't tell you. When I first had the problem one of the things I did was put my IP address in the TSServer.ini file (I read something about that in one of the FAQs. Just goes to show a little knowledge can be dangerous

). It didn't fix it, and I never went back in to change it back.
After this last suggestion of re-installing DirectX 8.1 didn't work, I installed TSS on another comp in my network and checked the ini file. That's when I saw the "IP= " and changed my troublesome one back to "IP= ". Voila! Fixed!
Truthfully, I think the DirectX re-install was the real fixer. I only think that because the Server quit when the MechWarrior game crashed. To my meager amount of knowledge that seems to be the one common thread between the two.
Anyway, I have babbled on enough. Thanks for all the help. It is much appreciated. I am looking forward to the release of TS 2.0.