John... to tell the truth I have no idea... I tried to google it but the only result I had is sth in Russian
I would assume Galiciak is from Galicja (region of Krakow during partition) and Grodziak from Grodno. As Galicia (with Krakow) was in Austrian part, and Grodno was in Russian one, I would assume the question meant to check if somebody lived within Austrian or German part... so are you Galiciak or Grodziak, one would ask?
But John... this is only my assumption:)