Hi, I don't know if I'll be of help to anyone researching the family name Bak. My grandma was a Bak who immigrated from Krakow, Galicia (that's the area that Austria and Poland fought over) her name is Marya - or Mary and we lived in Chicago. Her daughters and sons were Irenne, Alice, Leo, Teddy, Chester and Myron. My mom was Irenne who died in 1979.
Any information is appreciated and I'll be more than happy to email any information I have