The law generally says if the tree was apparently healthy, and there was no apparent reason to expect it to fall suddenly, it is sn act of God or random happenstance and the property line determines who pays for what, even the tree removal.
If the tree was already dead or dying or had been observed to be increasingly leaning over time where the threat of a fall was elevated, or someone had majorly disturbed the ground supporting the roots recently, increasing the odds of a fall without mitigation, then there may be some liability.
I had a healthy pine tree in my yard get blown over in a hurricane and the top damaged my neighbor's roof. It ended up being cut at the property line and we each paid for our part of removal and his insurance covered his roof damage.