Cerioporus squamosus is a bracket fungus, with a widespread distribution in North America. The name "dryad's saddle" refers to creatures in Greek mythology called dryads who could conceivably sit and rest on this mushroom. There were a couple of them growing on a relatively dry log at the back of the garden.
A dryad is a tree nymph or tree spirit in Greek mythology. Drys signifies "oak" in Greek. Dryads were originally considered the nymphs of oak trees specifically, but the term has evolved towards tree nymphs in general. Often their life force was connected to the tree in which they resided and they were usually found in sacred groves of the gods.
One has to love the polypores:. The Fungi of Many Talents!
https://www.first-nature.com/fungi/polyporus-squamosus.php