Francis Bradley appears in Talbot County, MD as early as 1699. His will was written in Chester County, PA in 1735/36 and proved in Lancaster County, PA in 1737/38. His will mentions his wife Rebecca and the following children:
Henry Bradley
Ann Bradley
Francis Bradley
Marie Bradley
James Bradley
I have information on the families of his sons Henry and James, both families settled in Meckenburg County, NC. By 1800 some of the family moved to Sumner County, TN and then continued to spread west across the rest of the country.
My own line settled in Jackson County, IL in 1817.