This is specifically about a murder at Carr Hill (known then as Carr's Hill) but it is close to The Felling and indeed The Felling is involved in this true story. The book entitled 'The Apprentice of Split Crow Lane' by Jane Housham...
... is available at Felling Library
Briefly, in April 1866 Sarah Melvin, a 5 years old went along Split Crow Lane looking for her Dad. She was discovered later that night when a couple returning from the pub tripped over her body.
I've just started reading the book so I'll be back to make any additional comments I may have