Only a few stars have names, and they are disproportionately clustered near our solar system. And named stars (especially once we get rid of ones with "names" like Lalande 21185) tend to be extremely luminous, and not especially good candidates for life.
Besides, most of the proper names only make sense from an Earth perspective. Awesome as it would be to see Zubenelgenubi and Zubeneschamali, no one would name two otherwise unrelated stars the "Northern and Southern Claws" if they didn't fall in the same constellation as seen from Earth.