Thank you. For some reason, I could not find the esupport subdomain to save my life... 
GalCiv2 is the one that actually works, for which I am grateful. The other one is Sword of the Stars Complete, which I believe was simply sold through Impulse at the time. I know GameStop purchased Impulse, but I can't for the life of me find a way to download that from anymore, which apparently leaves me in limbo. Interestingly enough, I have an Impulse backup of the game, but without Impulse I have no way to restore it.
But I have a support ticket in with GameStop already, and now I can put one in here too. I figure tracking it back from as many angles as possible will make it more likely I can get it solved. 