Long Beach Island Taffy By Jim Hejl | July 15, 2000 - 11:15 am |February 15, 2015 Candy, Food and Drink Out on Long Beach Island, in the town of Brant Beach is Lucille’s Candy. Taffy, fudge, lot’s of different types of candy are available. Also some pretty tacky gifts as well. You have to make a living after all. Long Beach Island Taffy Share this:Click to share on Twitter (Opens in new window)Click to share on Facebook (Opens in new window) Related Bookmark the permalink.