Amber, There is a book on Microfilm at the Family History Center in Salt Lake City. It is all about the Otremba's of Minnesota. I have tried to plce them with my own branch of Otrembas and still think we are related but cannot find the common grandparents.
If you could speak with your aunts and get any names and dates...locations and time frame that your earliest immigrant came over that would be the best way to start researching. Then when you find the approximate time you can go back to census records and try to find the families.
My family had thirteen children who lived to adulthood. Some came over at different times. The only ones I know of who came to Washington state were Anton and his sister Veronika or Verona as she was called. Verona is my great grandmother. Anton is her older brother. He came over first and went to Texas where he worked on a ranch near Austin. Verona came later as a nanny to a family and she found her brother in Texas. They moved together through Colorado to California and then came by ship to Seattle where they settled in Roy, WA about 60 miles south of Seattle.
From reading the book on the Minnesota families, I found they had many of the same first names that were written into Anton's bible. I didn't have many of the dates for the Minnesota families, but have a feeling they were some of Anton and Verona's brothers and their wives. They came fom the same part of Poland. Danzig and Turin. They were Catholic. They arrived in the 1860's and 70's. Their parents were not named in the book.