The grave is said to be Ursula's mother, the owner of the Lighthouse Cottage and is referenced when picking up Ursula as a part of a Strangers and Freaks hitchhiker mission. The grave could be haunted since the nearby Mount Gordo is also haunted in the game. However, investigations have so far brought up nothing, proving it as just a normal grave.
The grave is also said to be a reference to John Marston's grave in Red Dead Redemption. Since the grave looks like his and there are other references to RDR in GTA V, this seems possible. The grave was included as the location of a clue during GTA Online's "Treasure Hunt" mission, used by Rockstar to promote the release of Red Dead Redemption 2, possibly referencing the origins of the grave.