Don't know if you are aware of the Brantingham-Stratton Family Papers, which are on a site titled "Records of Quaker Families and Individuals." The site address is http://www.swarthmore.edu/Library/friends/rg5.htm . You'll have to scroll down (alphabetically) to Brantingham.
The text says: "This collection contains papers, in part typed transcriptions, concerning the Brantingham and Stratton families, Quaker families of England and Ohio. It contains correspondence, biographies, genealogical data, wills, and pictures. Includes correspondence and transcript of sea journal (1798-1799) of George Brantingham (1770-1845) , an English Quaker who emigrated to Philadelphia and by 1821 had settled in Salem, Ohio. Correspondents include Brantingham's family in England, including his brothers, John Brantingham (1768-1823), Joseph Brantingham (1754-1832), and William Brantingham (1756-1840).