One should probably refer to all lamps in general, except maybe a whale oil lamp, as a "vendor lamp".
And that is because all lamps consists of 1 to 7+ vendor purchased items.
Thus said, 1 person decides to make a lamp and may or may not manufacture 1 part for the lamp himself ...... and then purchases all the other needed parts from different vendors, ...... assembles the lamp, .... then sells it to a distributor or retailer.
If the name of the vendor who assembled the lamp is known, then you can refer to the lamp by that name.
Very, very few of said vendor parts are "signed" .... except the light sockets on electric lamps and the burners on kersoene lamps.
Just like your automobile. Other than what was manufactured "in-house", it was assembled with parts that were purchased from dozens of different vendors.