To the best of my knowledge the sentence is usually written in the negative form, ex.: "we are not out of the woods yet", that is we are not safe yet, we did not solve all urgent issues/problems yet (but implying you are getting there).
Penns Woods.
chase someone in the woods
Tiger Woods
to camp in the woods.
Penn's woods.
woods
in the woods
to be camofloudged
bear in woods
A neck is a thin area, as in a part of the woods. "In your neck of the woods" just means where you are, in your part of the world.
in the woods in a row
Penn's woods.