The Wilderking tells the Vestige to talk to the spinner, Maruin, in Spinner's Cottage. Spinner's Cottage is southwest of the Petitioning Stone. It is close to the Labyrinth Wayshrine. In fact, Spinner's Cottage is on top of the hill between Labyrinth Wayshrine and Labyrinth.
Maruin is waiting for the Vestige in the entrance to the cottage.