The Long Island Oddities website has been neglected for a while, but there is a page on the closed Long Island Antique Automotive Museum in Southampton, New York:
http://www.lioddities.com/abandoned/automuseum.html

Not much in the way of cars, besides a 1960's International Harvester Travelall. However another website has something on that place:

http://www.vanderbiltcupraces.com/blog/article/what_was_the_long_island_automoti- ve_museum