Ah Lake Norman, my father was an SRO at McGuire for 35 years. Wasn’t aware of the Duke ownership/easement but it makes sense.
We recently had a similar tree issue with the neighbors. There’s a large shade tree that straddles the property line. I came home one day to arborists working on the canopy and had a small freak out. The neighbor had asked for the tree to be removed, prior to selling, without consulting us. After a short, not so nice conversation the tree still stands and the neighbors are gone. It would have been a shame, there are photos of the house in 1900 with the tree present.