Have you tried cleaning your coral lovely? Caveat. You do have to be particularly careful cleaning all opal, coral and pearl jewelry, and perhaps that's why you see quite a bit of these soft stone antique pieces in need of a good cleaning.
Because Dr Bonner's soap is considered safe to use on Pearls I use it also on my coral Jewelry. My coral pieces pieces look spectacular - make sure you rinse well under water. I do however do the final rinse in pure, distilled de-ionized water. Cause I think they're worth it!
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Make a photo of the hallmark(s) by: MargaD
Are there any hallmarks? Please post them and make a photo through a magnifier to see it very clear.