I read your post and I remembered seeing the name Hamden A. Cagwin while I was reading the History of Will County from 1878 (my current research reading). So I went back and found it. Don't know if this will help you, but sometimes it just takes that little clue.

He is listed in a biography about his father Abijah Cagwin on page 668, in Joliet Township, Will County.

You can download the history from the University of Illinois Library.

http://hdl.handle.net/10111/UIUCOCA:historyofwillcou00chic

With many thanks to the University of Illinois for making these histories available for our research.