The Whitmyers Bedroom & Bathroom Glassware of the Depression Years show this lamp in a 1938 catalog ad on page 172. A cigarette box/powder jar is shown on p 37 and is designated as "Delilah I" in "crystal with convex ribbed base." They state that the bottom of the jar has "seven convex vertical panels across the front and back." They also state that Mary Van Pelt attributed this jar to he American Glass Company in an article in "Depression Glass Journal" April 1976 and it was shown in a 1940s catalog by General Glassware. Finally, they state that the Delilah lid was modified by adding four feet and a hole behind the knee of the extended leg to make a lamp.
Delilah I is indicated as only crystal. Delilah II, with the same top but different bottom, was available in frosted green/pink, transparent green/pink and black.
The lamp ad describes the Delilah lamp as satin frost crystal, 7 in. high. (that may include the shade finial).