Inside the Barrow, head on up the stairs to the North. Go on through the door at the top of the stairs.
Through the door you will find a water-filled room.
To get through you will want to head to the sides and take the stairs down. This will cause a walkway to appear that will let you get across the room.
On the far side of the room, you will find a weapon sitting in a pedestal. Let Bujold approach and take the handle. She will be told that she nor anyone is able to lead the Hall.
This will lead to a choice. You can either agree to keep this secret or you can object to her starting a new tradition.