Is there an a housing that encased the socket that you are showing? What keeps the wires away from the bell shaped piece. As I see it now there is nowhere for an Uno shade to attach. Also the space between the socket and the body of the lamp is very narrow. That makes me think it had a glass shade. Those were held on the same as an Uno shade but with a threaded ring that went inside the glass and threaded to the socket housing, bringing it snug to the cup. That housing is not in the pictures that I see as i mentioned before. This example is not a typical bridge lamp. It could support a heavier shade without falling over where bridge lamps can't because of their long arm, or bridge. This piece has more of an Art Deco style. I will look through some old lighting ads and see if I can't find something similar.