An iron shield, blackened by the fire that raged through the inn, is affixed to the crumbling chimney, one of the few remaining parts of the structure that once made up the Shady Rest Inn.
The shield can be removed from th brick of the chimney. Bring it to Captain Garran Vimes in Theramore.
On one of the planks on the floor of the burned-out inn, you will find a badge. This should be brought back to Theramore as well.
Also, there are some centaur hoof prints near the trees just outside the burnt-out inn.