|Cassin's Finches - Jackson County, CO|
Speaking of Alexander Wilson, by my count he shares the top spot with another 19th century ornithologist, John Cassin (both with five):
|Cassin's Finch - Yellow Variant - Jackson County, CO|
(extremely rare according to Sibley Guide)
You might be thinking that Wilson & Cassin named the birds after themselves, but there is an informal rule of nomenclature that you are not supposed to do that. There is only one exception to this rule for a North American bird as far as I know. William Gambel accidentally named Gambel's Quail after himself when he wrote his name on the specimen label of a bird he presumed to be a California Quail. When the bird was later determined to be a distinct species Gambel's name was applied to it.