Old man beard works well as a tinder it is very available in the Northwest and is part of my backup to what I carry.
Birch bark as mentioned is also great , Birch has a fuel in the bark so to speak when burning it puts off a black smoke.
In my truck and ATV I always carry hand sanitizer.
Processing wood is always a factor so I always have a good solid fixed blade knife. For breaking down bigger wood if a saw is not with you you can break it down using the tree wrench method.