Hi David, Perhaps my line links in with yours somehow. Here's how it goes:
John Bebbington was born about 1817 (probably in Cheshire), married Sarah Whinn in Manchester Cathedral Jan 21, 1840. They came to the US in 1849. Kate Maria Bebbington was born 1849 in New York. The Bebbingtons then came to Orland, Illinois. Kate married Thomas Beagley around 1865 and that is where I run out of Beagleys. John Bebbington and Sarah both died sometime after the 1880 census, but befor 1900.
It is a long shot, but maybe you have something on John???