It does have a skeleton, more like a cone shape that has three branches, someone here at work said it looks like an octopus coral?
The one on the far left rock? Having an issue with an ID on that one!
I think Octopus is just another name for Euphyllia divisa aka Frogspawn.
I need a better picture of the left side. From this distance it looks like a Bulls-Eye Mushroom - Rhodactis sp.