Hi,
The info about Hare warren you have been given is correct.
I used to live very close by as a child and used to play in Hare Warren and there is a beautiful cottage in the woods called keepers cottage.The land is owned by Lord Pembroke . The interesting thing is that one of my mothers friends who lived near us when I was little, father was a gamekeeper who live in the house.If you haven't been there I suggest you do it is idylic.