A pillow includes a pillow cushion consisting essentially of a gelatinous elastomer that is sized and configured to support a head and neck of a person using the pillow cushion. The pillow cushion has a first major surface, a second major surface, and deformable wall members extending between the first major surface and the second major surface. The deformable wall members are located and configured to define voids therebetween such that the deformable wall members may be displaced into adjacent voids upon deformation of the deformable wall members. The deformable wall members are configured to buckle when a pressure applied to a cushioning surface of the pillow cushion, in a direction perpendicular to the first major surface, exceeds a threshold pressure level. A pillow cover covers the pillow cushion. A method of fabricating a pillow includes enclosing such a cushion in a pillow cover.