All the bakeries down in LBI make what are known as Elephant Ears. I had never experienced them before but they are delicious. It's like a large pastery (think bigger than a dinner plate) sprinkled with cinnamon sugar. We did purchase from two different bakeries and preferred the ones that didn't crumble in your hands. The ones where you could break off a big hunk were better. Bob & his family used to go to LBI when he was a kid. Bob & his sister used to sneak into the closet with the elephant ears and devour them.
Here's a picture of what they look like.
Here's Ryan & Kaylie eating them. It must run in the family because they liked them too!