Cuphea procumbens Ortega, Nov. Pl. Descr. Dec.: 17. 1797 sec. Graham 1994
- =Parsonsia procumbens (Ortega) A. Heller, Cat. N. Amer. Pl.: 5. 1898 syn. sec. Tropicos 2013
- =Cuphea bilimekii Koehne, Pflanzenr. (Engler) 17. IV. 216: 155. 1903 syn. sec. The Plant List 2013
- =Parsonsia bilimekii (Koehne) Standl. in Contr. U.S. Natl. Herb. 23(4): 1020. 1924 syn. sec. The Plant List 2013
- =Parsonsia dispersa M.E. Jones in Contr. W. Bot. 18: 63. 1933 syn. sec. Graham 1994