The cache is a new one
Do these woods hold any special significance for you? Is it somewhere you like to walk yourself or go with your dog? If so, how about something alliterative like Woodland Walkies, or Woodland Wander.
If you want to start being a bit clever, something like "You Can't See The Wood For The Trees" which implies searching for something well-camouflaged (what your finders will be doing) in a wooded area.
Quite often people like to refer to a book or film that the location reminds you of. Is it a bit like Narnia or a Grimms Fairy Tale location that someone like Little Red Riding Hood would have visited? Does the shape of the tree remind you of anything like a number or letter or hands or fingers which you can use to help you think of a name?
Is it a big Oak tree ("Ye Olde Oak Tree Cache" wouldn't look out of place), or it there lots of holly and ivy about like the song "The Holly and The Ivy"? Are the woods quite spooky as it gets dark so you could call it Spooky Woods Cache.
Tell us a bit more about why you chose to place it there and I'm sure I can come up with more.
i chose to place it there as it is a nice area for people to walk around