The RHS website provides clear guidance on overhanging trees.
The tree belongs to the person on whose property it grows and overhangs may be cut off by neighbours although the branches and leaves cut off must be offered to the owners before being disposed of. Fruit belongs to the tree owner and may not be taken.
In trimming an overhanging tree, the tree itself and its roots are not to be damaged.
It seems clear that the OP is in the right here and not the grumpy neighbours. The neighbours can cut the overhang on their side but she doesn't have to.
However, I am of the opinion that the 80 year old neighbours might be suffering from Alzheimer's or be affected by the querulousness and fears which beset older and frailer folks.
Is it possible to remove a topic from "I'm on"
By special request, let’s discuss our favourite Classic Music and why?
