The Bugeye Sprite was introduced in Monte Carlo (just before the Monaco Grand Prix) on May 20, 1958, which would have been after the NY Auto show held in April 1958. Thus we believe this to be the 1959 or 1960 New York auto show BMC show booth.
There are many nice things to notice about this period photo, like the featured Morris Minor rear end and the cardboard under the car to catch dripping oil.