These are growing in a tiny patch of urban forest, on a tree, just 2 blocks from my house. The fungi is growing at the base of this tree and much higher up on the trunk. It is also growing on a couple of nearby trees, higher up, also on the trunk. I removed a small sample and noticed a embedded stick in the fungi. It seems another plant, growing near the trunk of this tree, grew near the fungi and the fungi started to feed on the plant, thus explaining the embedded stick. I do not know about the identification. However I believe this is a type of shelf/crust fungi. It is orange on the inside; firm to the touch, but breaks off easily; and has a very pleasant fragrance, similar to cedar (woody and slightly nutty).