This is the model 12 Aladdin table oil lamp, sold from 1928 to 1935. It came in both nickel and bronze finishes (this is the bronze). It's complete with a glass shade. The only things missing are a wick, the clear glass chimney, and a cloth mantle tent (a metal mantle is present).
The lamp is 12 inches high to the top of the gallery, 18-1/2 inches high with the shade in place. It's in excellent condition with three tiny depressions to the slant side font - two around the bottom edge, one pinpoint dot at the top edge. You have to look closely to find them, they are very small and shallow.
The ruffled top opal glass shade has a satin finish butterscotch yellow interior. The white exterior has hand painted flowers in rusty red and bright orange-yellow with ochre brown leaves. There's a less than 1/4 inch smooth circular flake to the bottom interior edge, shown with an arrow in the last photo. No other damage, and the painted design has no wear. I'm pretty sure the shade is not as old as the lamp. Shade measurements: 7 inches high, 9-7/8" diameter at base, 5-1/8" diameter across the top.