I believe the second photo is of developing fruiting bodies of the same species
on cliff face; possibly this one:
between 1/4" and 1/2"
These were small and fuzzy on top, hollow below
About ten feet up the tree.
According to Michael Kuo, A. muscaria var. formosa is actually a European species, while the North American species is A. muscaria var. guessowii. http://www.mushroomexpert.com/amanita_muscaria_guessowii.html
Very hard fungus that grows on dead, standing trees. It often resembles a hoof.
This is species "veratri" but it isn't in the database
On an oak tree.
On a living oak tree.
On a fallen twig.