I was just bouncing around today and came across a bit of info on this encased cent and what I would think is enough info for me as to where these are from. I like the story, the web link is great and the stork design on the encased cent matches the logo of the place. Here is the web site http://www.storkclub.org/ and below is the write up I first read.

N.Y.C. STORK CLUB
LUCKY PENNIES
Dated 1949 D (brass) and 1945 (aluminum) these pennies are from the legendary New York City supper club that was owned by Sherman Billingsley. My father worked at the club during the 40s & 50s. Visit their web-site and see his photo and the graphic design he created especially for Mr. Billingsley (see Memories section). These tokens are in original condition and have acquired a rich patina reflecting their 60+ year history. Get a piece of New York City's history from one of the hottest places for celebrities and politicians of the day.