Just putting this out there. No doubt Stardock got this idea of naming your own star because there are companies out there who claim you can name your own real star. Check out:
The official registry of names for real celestial bodies is maintained by an international scientific body called the IAU, and real star names are not for sale. However there are a number of companies out there maintaining their own, commercial registries and they let you pay them $60 to name a star after your loved one. In essence, you can pay them $60 to create a line in their Excel spreadsheet and print you a certificate on some expensive paper. I would dare say Stardock's names are more "real" than this, because at least those exist in a real game and can be colonized.
Stardock's star-naming is of course legit (after all, your name really does appear in the game, and you really do play on it). But I thought it wise if the community was well-informed regarding the naming of real stars before someone finds out on their own that you can "name" real stars, too. Because...no you can't. Not really. But then again...you could always name a real star after some girl you like...