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Lars, Kermit:

Many, many thanks to you both for responding to my question in such depth and sophistication.  In working through your very detailed responses, my level of knowledge has certainly been taken up a notch (actually, quite a few notches!).

Kermit, you wrote: "What could be a realistic Longitude difference between Oxford and Greenwich?"

This is an important question.   Yes, you are correct, Cook's Eclipse Island observations preceded the construction of the Radcliffe Observatory at Oxford University.  In an effort to find where Hornsby made his Oxford observations, I came across literature on the history of Oxford University indicating that Bacon's Tower at Folly Bridge on the River Thames in Oxford had been used as an observatory prior to Radcliffe. A structure with that name clearly appears near Folly Bridge on a Google Map of the Oxford area and reports its longitude as 1° 15' 23.4'' and this is what I used to 'Greenwich adjust' the times reported in Royal Society article for the beginning and end of the eclipse.  On this basis, I get longitudes for Eclipse Island of 57° 33.4'W (using eclipse start time) and 57° 36.9'W (using eclipse end time).  Kermit, I hope I have interpreted your question correctly.

Thank you both once again for your very comprehensive answers to my Eclipse Island question.

Cheers,

Jim.