Gormr, Steward of Thorin's Hall and leader of the Dourhands who now inhabit it, will not grant you access to Skorgrím's Tomb. He has, however, given you leave to visit the shrine instead.
'I'm afraid you have come here for nothing anyway, ${PLAYER}. No one is to gain admittance to Skorgrím's Tomb. It is a sacred ground, and only descendants of Skorgrím -- that is, the Dourhands -- have leave to enter.
'You are more than welcome to pay your respects to our fallen king at his Shrine, which is just east of here, in the Rockbelly Pit. Skorgrím was a great king, after all, and deserves tribute.'
Bats can be found in the Rockbelly Pit cave, which can be entered in the courtyard near the Berghold or from the overlooking Winterheight.
You should defeat bats in the Rockbelly Pit to ensure that the Shrine to Skorgrím remains clean.
The Shrine to Skorgrím is in the Rockbelly Pit.
You should visit the shrine to see what all the fuss over Skorgrím is about.
Gormr awaits you at the Berghold in Thorin's Gate.
You should return to Gormr after having completed the task he gave you.