As
Whitehall 1212 correctly pointed out the fact that Fuller lived fairly nearby to Bedgebury forest is only circumstantial evidence.
We need to find something that would link Fuller with being there on the day of the murder to go anywhere with this theory.
LordPeterFlimsy found out that Jean Vera Brook worked in Camden road at some point and has provided us with a newspaper report to back this up. However at the actual time of her death she was working as a parts delivery driver for Hollingsworth the Ford Dealer in Hastings.
We know that Fuller liked to stalk people as he used social media to find out about the corpses he abused according to newspaper reports. Of course when the two women in TW were murdered it was before the days of social media so we do not know how he stalked them. When Jean Brook was murdered there was little in the way of any social media but he may have been aware that she had previously worked in Camden Road. There are also links with where she lived and Fuller having some family in nearby St Leonards-on-sea.
I would still like to find out if the lady called Sally who Fuller married ever worked at the Bedgebury girls school as this is very close to the Bedgebury forest and would have given him a motive for being in the area if it was around the same time. This interest is based on the fact that Sally was working at a different girls school, Broomhill Bank, a school for young girls during her marriage to Fuller.