Old Murder Mystery in Amersham – Can Anyone Help?

I have received an email asking if I can help with a possible old mystery about a murder in Amersham many years ago.  The writer tells me “I recall that a popular woman GP was murdered in the woods above Old Amersham, her name might have been Davison.  On the widely held belief that a murderer always returns to the scene of the crime, my father was allocated the night watch, which he spent up in a tree, my guess quite high.  Probably to his intense relief the murderer did not appear and I believe was never caught.”

Can anyone remember this case and what the outcome was?  A Google search has not revealed anything, but it was probably reported locally.