Tree Branch Fell On Car at Neighboring Property - WWYD?

[Kyle Doney]

I had a tree limb fall on a car and create minor damage on the hood (some dents). The tree was on my rental property side and fell on car of the property manager of the apartment building next door (or so she says). She's asking for my insurance info. I did some research online to see who should cover this and found mixed opinions. Some say her insurance, some say mine.

Apparently she put a letter on the tenants door in April notifying that some dead tree branches had been falling, but I was never notified until now. 

What would you do here?