whatever is on their property is theirs to do with as they want.

tree roots in neighbors yard, they can dig and chainsaw.

overhanging branches become theirs at property line.

if your otherwise healthy looking tree blows over in a storm and
destroys their home it became their property when it was airborn and
crossed your property line...

dont laugh my tree came down and flattened neighbors car, it wasnt my
problem.

if i had been warned tree looked hazardous, then my insurance would be
liable.