We have a Metal Table Lamp Vintage Item.  The cord shows so much wear I did not want to try it - it should be re wired.  It measures about 5 1/8" in H x about 1 1/4" across the light socket and 2" across the metal surround.  The bottom of the base is metal as well.  It has an ornate design on the base and also on the metal surround leading up to the light socket.  I believe a globe rests in between the socket and metal surround - I do not have the globe.  The metal is tarnished all over.

Table Lamp Metal Vintage Item