Who owns the fence?

In Louisiana: There is a fence between our property and the neighbor's. They say they own the property and they are asking us to remove all the fern on the fence saying it is causing fence to buckle up. We thought the fence was ours, so we planted the ferns around the fence. If they own the fence should not... show more In Louisiana:

There is a fence between our property and the neighbor's. They say they own the property and they are asking us to remove all the fern on the fence saying it is causing fence to buckle up. We thought the fence was ours, so we planted the ferns around the fence. If they own the fence should not they show me the ownership of the fence aka survey of the property? Can they just tell us to remove the ferns without showing the ownership. We have no surveyor report.
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