Euphorbia brachycera Engelm., Rep. U.S. Mex. Bound., Bot. 2(1). 1859 sec. Martínez-Gordillo & al. 2002
- =Euphorbia odontadenia Boiss., Prodr. 15(2): 148. 1862 syn. sec. The Plant List 2013
- =Tithymalus brachycerus (Engelm.) Small, Fl. S.E. U.S. ed. 2. 1913 syn. sec. Martínez-Gordillo & al. 2006