Terra cotta (Latin for fired earth) is baked clay, a building material that's been around since ancient times and was having a vogue in the 1920s. The Woodstock statues were made by Atlantic Terra Cotta, then the largest producer of architectural terra cotta in the world.
First up, the gargoyles:
The six gargoyles on the eastern and northern walls of the building portray fierce mythological creatures, some with canine and porcine features. Four of the six appear to be in the process of renovation, stabilized with wire and netting, only adding to their menace.
The Lions:The four lions are placed on the north wall; two have been recently restored, as shown above. Below, a close-up of Gary the lion, unofficial mascot of this blog. More on him here and here.