Barbara mentioned the Industrial Removal Office (IRO). That is the subject of one of my presentations that will be available in the IAJGS Conference presentation library. The presentation was designed to help answer the question, "Why did they move there???" Even if your family member wasn't specifically moved by the IRO, they may have been impacted by the program because they followed an extended family member or landsman who was. I discuss the history of the program, its impact and how to use the index and records.
I checked the records and there was an M. Rudman who moved with the IRO to St. Louis in 1904. The connection may be worth exploring.
Risa Daitzman Heywood