AMETHYST is supposedly a calming stone (great for aiding meditation); and in folklore is also know as the "Sobriety Stone". It also supposedly protects travelers and aids in overcoming personal loss.
TANZANITE is named for the country it comes from - Tanzania in East Africa. The stone was labeled as the "Stone of the 20th Century" and is known for both its unique color and brilliance when faceted.
PERIDOT is one of only two gemstones that form via extreme heat (in molten rock instead of the earth's crust - other stone is the diamond). The second location you can find peridot is from outer space - the gem has been found on meteors that crash to earth that suggest peridot was around up to 4 billion years ago.
APATITE is a semiprecious gemstone within the group of phosphate minerals - these are from Madagascar. It is a stone that many use in meditation as it is believed to aid in intellect and concentration.