The Falkenstein light Company seem to have designed swag lamps, lable lamps, and pole lamps, on many of the light fitting castings they have copyrighted them. They seem to have been in business in the early 50's to the 1970's. I can't find out where they were located or when they went out of business but many people who deal in vintage and 50's era items like Eames designs seem to sell the odd Falkenstein. If you need an price evaluation look for a site that deals with these kind of things.
I also have a table lamp and a ceiling lamp with the numbers 4086-4 on them and would love to find out their worth but have had no luck as yet? Finding an answer would be good?
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Other people asked questions on various topics, and are still waiting for answer. Would be great if you can take a sec and answer them