Depends who owns it.
your mother
More than likely God is responsible for the storm that caused the tree limb to fall and damage the shed. Doesn't the landlord own the shed? If the shed belongs to you then you are responsible for repairing the shed. If it belongs to the landlord then he can decide whether or not he wants to repair it.
Is a neighbour responsible for clearing away large parts of their tree that have fallen on our property during a storm
hail
In Australia the owners on either side of the fence
Damages - 2007 The Storm's Moving In 5-7 is rated/received certificates of: Netherlands:16
"Yes, Shelter Insurance offers coverage for natural damages caused by things such as a storm, although the customer is responsible for reporting such damages in a timely manner. You are also required to ensure that the damaged property does not incur more damage by providing proper protection after the damage."
The answer is basically no. The landlord is never responsible for damages to personal property belonging to tenants in any dwelling or structure. That is why you are strongly encouraged to get renters insurance. In some cases you may have some recourse if the landlord knew of the problem. But if you get renters insurance be insurance company can determine that for you and they can seek damages from the landlord.
The captain of the ship is typically in charge during a storm at sea. They are responsible for making decisions to ensure the safety of the crew and vessel, and may work closely with the ship's crew and other officers to navigate through the storm safely.
They will cover the damages to your car, but your rates will more than likely go up because you are filing a claim on you own car.
If the tree was not dead already and clearly so then your insurance would pay for the damage to your house. A storm that causes the tree to fall is considered an "act of God" and the neighbor is therefore not responsible for the incident.