Lake Wood is managed by the Woodland Trust, see here for more information.
This walk was to the top of Wolstonbury Hill a high point on the South Downs just north of the village of Pyecombe. This area is managed by the National Trust for more information please check the information on their website.
The walk for me started from Hassocks station, following the path along the London to Brighton line for just over a mile to Clayton. From here crossing the A273 by the tunnel, yes someone does actually live in a house above a busy railway line, I not sure I would be able to sleep soundly, although I am sure you would get used to it.