From the Federal perspective (the National Register of Historic Places is part of the National Park Service), a property owner can do whatever they want with their property as long as there are no Federal monies attached to the property.
I think you probably mean the metaphor of piercing eyes, it means someone who has a really intense look in their eyes. Sometimes it could be that the colour of their eyes is quite different, like a really icy blue colour. piercing eyes are eyes that can see straight through a person. SUPP is right.
Pain or discomfort, Sore or burning eyes. Pain or discomfort, Pain when moving eyes, Sensation of something in eye, Sore or burning eyes. Sore or burning eyes, Tenderness to touch. Eyelid redness, Itching or burning, Puffy eyelids, Sore or burning eyes. Itching or burning, Sore or burning eyes.