If it were not in a collection of fossils it would have been a surprise to me to discover that this is in fact a fossil and not an artistic relief sculpture. On doing some research, it was definitely a surprise to find out these are animals, not flowers. (My guess would have been poppies.)
Encrinite is the name for the rock that is formed from crinoids, the name for the individual animals. The name crinoids comes from the Greek word krinon which means lily. A common name for the plants, er animals, is sea lily.