They always take a picture of you when you leave - holding a hibiscus flower that you discard when the boat to the airport leaves. This is the picture from our 1985 stay. I couldn't find the 1983 book which was our first trip.
When the boat from the airport approaches the island you can see a rock formation through the gap that looks like an Iguana head - thus the name of the island. This painting is hanging in the living room and is by Louis Bigelow - the original owner of the island who created the resort.
Some views of the island - from our porch or nearby (click below)