We have a mature ash tree that is within a foot or so of our property line. It has been there for at least 50 years. It is healthy and provides excellent shade. Neighbors moved into the house next door about ten years ago. They demand that we dispose of limbs that are blown down in wind storms. This year they decided to build a gazebo under the tree within a few feet of the property line. They feel we should take care of all the expense of tree trimming and branch disposal while they sit in their gazebo and enjoy the shade. Question: Do they have the right to demand that we remove branches that fall from the tree and to pay for all trimming? It is not as if the tree is endangering anything other than the gazebo which they built under the tree that was already there. I cannot believe their demands are legal or moral. Our city code only says that tree limbs are litter and that all litter should be disposed of by the owner of the property where the litter is found, it says nothing about tree owners being responsible for removing same from another's property.