No, we're not related. I'm only "married to a Bradway" and he probably isn't related either, unless it is very distantly. However, I probably have more information the Bradway families than anyone else in the world and can often find "lost" ones in my files or give someone their (possible) ancestry.
Now that I have a little more information, I'll do some checking and see if I can come up with anything. Unfortunately, the ones who moved into IL are sometimes very hard to identify. (Most of the ones I've found in WI are attached to parents, grandparents, etc.)
I have several different "family groups" in Illinois. Some are coming out of NY and probably go back to William  Bradway of RI. Others may be descendants of Edward  Bradway of Salem Co. NJ.
If Margaret was born in the 1860's and married in the 1880's, then died at age 83, wouldn't she have a death certificate that would show her parents names on it (or are they marked as "unknown")?????