If anyone is struggling to create star names, whether to rename systems, or mod them into the game: I found the Bayer Nomenclature System that astronomers use to be very inspirational - from a Terran's conqueror's point of view . E.g. Vega is also known as Alpha Lyrae, "alpha" for being the brightest/most significant star in the constellation Lyrae. Since there are several stars in each constellation that we can see from Earth, it follows you can use names like Beta Lyrae, Gamma Lyrae, Delta Lyrae and so on - unless you know a common name for the star in question. Another example: Betelgeuse, aka Alpha Orionis of the constellation Orion; so an star called Iota Orionis would be perfectly in keeping with the naming method. Wikipedia is *very* helpful with this approach.
A more fictional resource I highly recommend: the RPG, Traveller! Oodles of system names populate the game setting, many interesting, some funny, some weird, and most quite immersive. If you get hold of a map of the subsectors of the the Spinward Marches, you'll find plenty of viable system names!
There are many other sources like sci-fi novels, Dr. Who, Farscape, Star Wars, Star Trek, etc., but I found the above two methods very helpful on their own without borrowing from movies , TV, and their related properties.