Actually I think that dark green glass is known by both the "jade" name as well as "malachite". In fact I've also seen it called "jadeite"!
Back in the 1800s Sowerby used the term malachite (in fact I think they introduced the term, but others may know better) to refer to their variegated glass whereby a colour (such as purple or blue) was swirled and mingled with white to achieve a marble-like effect. Sowerby's malachite can be found in such colours as purple, green, blue (also called Sorbini), turquoise, brown, grey and white.
Glen