I have now detangled the family...FINALLY! It took a while, but a Byer eventually found our postings and we have pieced it together with the help of Ray Byer (Myer's brother Benjamin's son- now 88). Abraham Bajewski (Byer) and Rosa had 7 children. Their names were Samuel, Harry, Celie (Celia), Israel, Myer Isaac, Benjamin and Rubin (Robert). It is pure coincidence that Myers wife was Celia and he had a sister by that name, too. Myer and Harry changed Bajewski to Bayefsky to Bafsky. The rest of them, Abraham included, changed the name to Byer, although Albraham and Israel used Bafsky/Bofsky for about 10 years first. They landed in Baltimore, Maryland.
Israel, Harry, Samuel and Abraham came separately from the mother and the rest of them. They went to Philadelphia then Chicago then some went back to PA and some out to CA, with some back and forth between them. Harry, Israel and Samuel stayed in PA/NJ. Rubin(Robert), Myer and Benjamin stayed in CA. The naturalization record I posted was another relative, with the witnesses being Samuel and his oldest son Max, so that was a related record. Rubin/Robert was not born in Chicago at all, but in Russia.