Yes, it's Cunningham Park but not the lot that is on Union Tpke. It's the back parking lot and the entrance that I know is right on Francis Lewis Blvd. Here's a link(pic) of the entrance if I remember correctly... Although, it's been about 15 years since I've been there.
[ame="http://maps.google.com/maps?f=q&source=s_q&hl=en&q=Cunningham+Park,+Queens,+Queens,+New+York&sll=40.734771,-73.786926&sspn=0.50781,0.884399&ie=UTF8&cd=1&geocode=Fa56bQIdF1ea-w&split=0&ll=40.731161,-73.773236&spn=0.011057,0.019248&z=16&iwloc=A&layer=c&cbll=40.730721,-73.769436&panoid=eIYmuepmmj-qiaRj_MgD4w&cbp=12,215.58449663848816,,0,12.466547725245316"]Cunningham Park, Queens, Queens, New York - Google Maps[/ame]