Almost all Hemingray made lamps have a double ring around the collar. Lots of other lamp manufactures used the same double ring. This is just the first step in identifying a Hemingray made lamp.
Next thing to look for is a seam between the bowl and neck. There are no one piece Hemingray lamps. Again Just because a lamp has a 2 ringed collar and is not 1 piece does not make it Hemingray. Just helps narrow things down.
If the lamp is a finger lamp it will have a loopy handle that is attached to the bowl. The handle will never be molded in to the bowl. Hemingray handles have a distinct look.
It is best to stick to known Hemingray made lamps. This is just a guide to show common characteristics . There are photos of Hemingray made lamps on my lamps photos page.
Some Hemingray lamps have a grooved base. Not a requirement to be Hemingray but is one more way to ID them