Fuzzy? Never heard of fuzzy mushrooms; hairy or frilly perhaps? In the pics your getting hairy, frilly, and ricordia, all of which are different. Nor will they live together without over growing/stinging each other.
Your rock looks like a mix of hairy or frilly and ricordia Yuma; they should be seperated. Also be aware that hairies or frillies get large, reproduce quickly (they will take over a small tank ~ killing out everything else), and some species will actually capture and eat fish.
That said, here's a picture of my pink frilly;