There is a stage brutality in the forest. I have seen it, but not positive on how it's done.
No stage fatalities as of yet.

You must use the tree branch interactable at the far left of the screen, as well as the branch that you swing from in the middle. The last hit has to come from throwing the log on the far right while your opponent is jump distance or greater away from you.

Blanche Stage Brutality will be patched in soon!!!!

They don't exist - this was covered weeks ago. There's only one Stage Brutality in Dead Woods. Otherwise they claim that they are patching in additional stage brutalities.