Doubt there is a connection but will give you this info just in case!! My ancestor William John Burnes was born in Ireland in 1810 of Scottish parents,migrated to America,married Mary Hutchison about 1829 or so -lived in Tazewell Co.Illinois and also Grant Co.Ky. They had four sons. Left Lexington Ky about 1835 and in 1840 he and the boys showed up in Mo. but w/o her. He may have married again to an Earp woman,first name unknown. Third marriage was to Nancy Sanders McQuillan -1855- in Mo. Wonder if he could be related to the William J.Burnes you are looking for!!