You were right all those years ago when you posted your reply to me! This was not an easy family to research since the name is spelled so many different ways and the family members went by different first names or initials.
If you check my family tree (McCourt-Vacek) you will see I do have a lot of information on this family now. Three very helpful web sites I used were familysearch.org, http://siouxcountynewspaperarcive.com
(lots of articles on here about the Swearingen family - spelled different ways), and http://chroniclingamerica.loc.gov
(old South Omaha newspaper artilces and some from Ohio too). That last one is where I got the various newspaper artilces about the death of Martin Cunningham and Bridget/Ora's law suit againt the city of South Omaha.
I also looked thru lots of microfilms, and have found the various land records for the land Martin Cunningham and his siblings bought in Marshall County, Kansas. There are records of Bridget later selling that land.
When I started I knew next to nothing about my grandfather's early life. Now I have a better picture of what his life and his first wife's life was like.
I had also called a friend of my brother's who works at the Omaha Catholic cemeteries. He found the burial records for Martin Cunningham and Bridget/Ora Swearingen at St. Mary's Catholic cemetery in Omaha.
The Swearingen's were certainly an interesting family. Please let me know if I can be any help or if you'd like copies of any of the records I have.