Dolmetsch's version of Bakelite (not as tough as the original) was called Dolonite. Schott used something similar. I don't think they named it but it should have been Schite.

Across the pond, the Waterbury Button Company branched out into making ocarinas in the 1950s. I've never handled one of their products but I'd guess the material was in a higher quality bracket, Waterbury ocarinas you see on EBay now look as good as new.