I agree that this would be hard to prove, but I don't think your evidence here is strong. Perhaps you are implying that the modern name Aden is derived from the obviously Greek Eudaemon. That is possible, of course. On the other hand, the Greek name could well be an adaptation of an original name Eden into something more Greek-sounding. It could be relevant also that the LXX version of Eden is Edem - closer to Eudaemon.
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Walter,
You would have a hard time proving the Eden-Aden connection. First of all, modern Aden was called Eudaemon is the 1st century BCE, which would be the first known reference to it. ("Eudaemon Arabia was once a full-fledged city, when vessels from India did not go to Egypt and those of Egypt did not dare sail to places further on, but only came this far") (see Periplus of the Erythraean Sea). Heuristically, I don't see the connection to be made here.
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