Are you guys serious? When saving a game let's assume you let the computer name it... new... now play a turn and save the game again. This time click your mouse in front of the 'new' name and press delete until all the letters are gone (delete acts like the backspace button in this game, at least for me). Now you should be able to name it anything you want and then hit save. You will now see your 'original', 'new' named game AND your 'renamed' game save. I might not have described the process perfectly, but you can indeed save many times, with many different names if needed.
Remember, you have to click in front of the 'word', just like when picking a name for your custom race. And delete is the backspace button (why this is I just don't know).

well, I know i'm an idiot, for some reason my game hasn't been allowing me to rename. that's why i asked. i'll double check tonite.

sometimes it's the simplist things that confound me. Thanks!!

I noticed this before too. I think it's because when you click the area to rename something in this gmae, it doesn't highlight it all. It simply puts the cursor at the beginning of the line (instead of at the end, which most are probably used to).
Evil has it right though, click the area to rename then use the delete button to erase what's there then type what you want.