Here is a listing of all the known races in Chronicles of Old.

Human

Elf
-  Wild Elf  (only as an entire group)
-  Desert Elf (Haarn'quessir)

Dwarf
-  Lost Dwarf (The Thagi)
-  Shield Dwarf (Baraz-Dammaz-Throng)
-  Sea Dwarf (Oken-Calnar)

Gnome

Goblinoid
-  Gobelin (Assimilated Goblins)
-  Goblins
-  Hobgobins


Listing of non-allowed races:
No Halflings
Any other kind of elf not listed above  (i.e. No DROW)
Any other kind of Dwarf not listed above
Any other kind of Gnome not listed above
No Orcs of any kind.