From what I understand (at least in the Town of Hempstead) the state owns those islands. I know some people who own some of the bay houses on those islands. Used to be they had to be handed down only to family members and couldn't be sold but I understand they can now be sold outside the families (although most families keep them). A book was written years ago with photos and history of the bay houses and some of the people I know are in it. Here's a link to the history or the houses.....http://www.longislandtraditions.org/bayhouse/bay.html