All the former cormous genera that were once considered to belong in the Liliaceae family from Mexico and Western North America are now considered to belong to Themidaceae, although some taxonomists suggest moving them back or placing them in Alliaceae. Most recently they are suggested to belong in an expanded version of proposed expansion of Asparagaceae in a branch with Hyacinthaceae. In the Flora of North America they are still considered to belong in the Liliaceae family. A recent (2002) phylogenetic evaluation concluded that Themidaceae is a monophyletic family that is sister to Hyacinthaceae within Asparagales. (See A Phylogenetic Evaluation of a Biosystematic Framework: Brodiaea and Related Petaloid Monocots (Themidaceae), J. Chris Pires and Kenneth J. Sytsma, American Journal of Botany 89(8): 1342-1359, 2002. 
http://www.amjbot.org/cgi/reprint/89/8/1342)
Genera in this group are: Androstephium, Bessera, Behria, Bloomeria, Brodiaea, Dandya, Dichelostemma, Jaimehintonia, Milla, Muilla, Petronymphe, Triteleia, and Triteleiopsis.
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