Particle-が in restaurant's name. Genitive particle? I was at a Japanese restaurant called ` ()`. And I was trying to figure out what the `` does in it. I instinctively translated it to "Starry hill" (Not sure of my translation though). **(Question)** What does `` do in this case? Or is it simply and I shouldn't think too much into it.

Your speculation seen in the title is correct. `` is the archaic genitive case particle. You can still observe this form in fixed expressions such as `` () 'my'.