I wrote here some time ago about my little sister, Amethyst, who died in infancy. Her death precipitated my mother's subsequent miscarriage, and was my first real experience with grief. As the founders of our miscarriage support network started discussing potential names for our organization, Amethyst's name came up. "The Amethyst Network" had a nice ring, and the name resonated with several of the founders because several of us had had due dates and/or miscarriages in February (amethyst is the February birthstone). We also liked the connection to valentine's day with the love we feel for our angel children. Purple and hearts seemed appropriate to symbolize our love and losses.
It is only now, after the name has been chosen and we are moving on to other aspects of the organization, that I thought to look up more information about the actual stone.
Amethyst "is a meditative and calming stone. It works in the emotional, spiritual, and physical planes to provide calm, balance, patience, and peace." It has been traditionally used to "help heal personal losses and grief. Amethyst has a gently sedative energy that promotes peacefulness, happiness, and contentment. It also brings emotional stability and inner strength" [link].
It seems the choice of name is even more appropriate than I could have guessed.