I know this post was a while back, but Bucknors go back a long time in Jamaica, if you think that's where they're from. They usually spell it with an 'o' rather than Buckner in Jamaica, but it's somewhat variable. The first Bucknor in Jamaica seems to have been John Bucknor, who probably immigrated in the 1690s and had a fairly large plantation there. There were a number of Maroons who had the name too, and some of them were among the Trelawny Maroons who were deported to Nova Scotia after the Second Maroon War in 1796 and then to Sierra Leone in Africa.