Mammillaria theresae Cutak in Cact. Succ. J. (Los Angeles) 39: 239. 1967 sec. Hunt 2016
- =Mammillaria saboae var. theresae (Cutak) G.D. Rowley in J. Mammillaria Soc. 19: 30. 1979 syn. sec. Guzmán & al. 2003
- =Cochemiea theresae (Cutak) Doweld in Sukkulenty 3: 38. 2000 syn. sec. Guzmán & al. 2003