The founders that can name their star should start at that star unless they elect not to.  There could be a planet theory of "equal and opposite mass ejection during proto star creation", a sister planet in the exact orbit on the opposite side of the sun in the star system, in the founders star system.  This planet would have gone completely unobserved until spacecraft could leave orbit. On-line games would have this diabled, but available to other games, single player hotseat, or own lan.