Genealogy / Genealogy Polish last names-- Bic/Bikowski/Byk [5]

Family members have told me my great grandmother's last name was spelled Bić. (First name Mary) I have never seen Bić written on any documents (we don't have many) but have seen her last name written as Bikowski on American Catholic church forms. We found papers that said she was from Galicia. When I search the Galicia area of Poland, I can only find records of the last name spelled as Byk. Are these all variations of a name (sort of like Smith and Smythe)? Can someone give me some direction on where to go from here with this name? I know she immigrated in 1909 but haven't been able to find her on a ship registry or anything else. I don't know the specific town from which she came from Poland so I can't guess at which church she would have attended in Poland either.