It's probably from one of the Deer that are held in the Park. I watched the documentary on Woburn again recently, it showed how one of the Deer (Pére David's?) had broke a leg and it couldn't survive. The staff gave it to the Lions to hunt up a tree. It was quite extraordinary.
A busy public road cuts through part of the Deer Park. There are Deer warning/Speed Limit signs and also a large display board showing the number of deer which have been killed in the current year so far. Its usually in double figures.