People have been using hardstones in jewelry since forever, so lots of different names have developed for the same thing. The distinctions between different varieties of hardstones (the science name is chalcedony) are somewhat arbitrary, and are for the most part based purely on visual distinctions, not any actual difference of the mineral’s composition.
Because we are nerds, we made this flow-chart to help explain how the tangled terminology fits together:
The Victorian "Remember" seal ring, in 15k gold, also has a fun surprise, which we captured on video!