The lamps have identical fonts and Aladdin Model 12 burners. The main difference is that one font has a blank cap and one has a cap that says Success.
One lamp has a copper surface on parts of the burner while the other has an old brass patina. While they don't have any major flaws, both exhibit a bunch of dings, to the top, side, and undersides of the fonts.
These were electrified probably in the 1950's, before I removed the old sockets and cords and replaced them with new ones. The one with the lamp pipe that comes almost down to the bottom is solid. The other ones has a copper pipe in the middle, so it can rotate a little bit, but it works as intended.