Quick look at the eight ungrouped gemstones:
Tiger Iron is basically bands of tiger's eye, hematite, and red jasper, according to the Wikipedia article. Tiger eye and jasper are both quartz-based, so tiger iron could probably go in the "quartz" group.
Schorl is apparently tourmaline, so that can go in the Tourmaline group.
Variscite is hydrated aluminum phosphate, which doesn't fit into any of the groups you currently have. It could be grouped under "phosphate minerals", but it would be the only member currently in DF. Turquoise is about the only other commonly known phosphate mineral (of course, variscite itself isn't exactly commonly known).
Chrysocolla is hydrated copper silicate, which doesn't go in any obvious group (it's not really a quartz mineral, although it's associated with quartz and copper ores for obvious reasons).
Pyrite is iron sulfide, which again doesn't go in any obvious group.
Peridot is simply gem-quality olivine, which is a (magnesium/iron) silicate. No obvious grouping here.
Tanzanite is calcium aluminum hydroxy silicate (yeesh), which again doesn't fit into any of the other groups.
Kunzite is lithium aluminum inosilicate, in a class referred to as "pyroxenes". Jadeite is also in this group, and is apparently one of the two minerals recognized as "jade" (the other is nephrite), but you might want to keep the jades group exclusive to actual jade minerals.
I might work on a possible framework for material values. Metals are really easiest to characterize, particularly because they tend to be isotropic (uniform characteristics in all directions) and similar in tension and compression. Ceramics and wood are harder, particularly wood, since wood is basically a naturally-occurring composite material and is thus highly non-uniform. At least wood's properties tend to be definable as three sets of characteristics at right angles to each other (orthotropic behavior).