There is more than one group called The Fates.
1) The earliest group was started by Una Baines(The Fall, Blue Orchids) and two other women. The Fates were formed when Blue Orchids broke up after a brief stint as Nico's backing band for a European tour. The Fates released the album Furia, a "dark, sometimes ritualistic, folk with much electronic sounds though and much improvisational parts", on Una Baines' own label, Taboo, in 1985.
2) A Canadian based group, The Fates are Lori Reid, Lin Elder and Jenny Allen who blend elements of alternative pop, jazz and soul into one unifying sound.
Read more about The Fates on Last.fm.