I have to agree with DDancer on the composition of the rock as I have seen somewhat similar specimens, although they were usually in slabs! Due to the softness of the material and not being able to obtain a high gloss when polishing it, have you thought about stabilizing it in the same manner that Turquoise is stablized? I believe that if the stabilizing process works on your' stones, you will end up with a great result. In that, I mean that the material will be hardened and more susceptible to a high gloss polished finish which will compliment some of the other beautiful pieces that you have made.
Frank