I have gone back in my sources, and I find that the connection is at Hans Jacob Balmer b11/21/1709. You sent me some informaton on him on 2/25/07 which I have confirmed with other sources.
All of my information on his siblings and ancestors comes from you, and your e-mail at the time says "Now don't ask where I got this information as it has been about 10 years ago."
Have you ever figured out your sources? I would be very interested in finding out.