Finding texas law regarding tree conflict with neighbor

[Yenlan Patton]

We have trees on the side of the back yard in one of our rental home, it happened the neighbor notified us that the branches hung over to their roof and demand us to take care of it. So we acted quickly and took care of it, but the neighbor complained that we had to pay the damage from the tree rubbing caused by our tree. I tried to find any site of law but couldn't find it, are we responsible for this ?