Thanks for that listing, Robert , and the info on Gummin Gummin.
There ARE some Cornhills in Australia - if for no other reason that a Henry Cornhill was transported there in about 1797!
But my Joseph James Cornhill - if indeed he is "mine" - sadly left no descendants by that name. His son Ernest chose to use the name he was registered with for his entire life, and his children were Ropes too.