"List of birds native to Chicago area but not the whole of North America"
Endemic to Chicago is the terminology.
No, that doesn't work. Something can be native to lots of places within N. America, while not being native to the whole of it. A bird found in Chicago and a neighbouring place should be mentioned in those 2 lists, not the main list, otherwise you lose the precision. Creating a list for "birds endemic to Chicago and X" would result in lots of very short lists for each possible combination of places.