Mammillaria coahuilensis (Boed.) Moran subsp. coahuilensis in Gentes Herb. 8: 324. 1953 sec. Guzmán & al. 2003
- =Haagea schwartzii Fric in Život v Prír. 29: 36. 1925 syn. sec. Guzmán & al. 2003
- =Porfiria coahuilensis var. albiflora Boed., Z. Sukkulentenk. 2. 1926 syn. sec. Guzmán & al. 2003
- =Porfiria schwartzii (Fric) Boed., Z. Sukkulentenk. 3. 1927 syn. sec. Guzmán & al. 2003
- =Porfiria schwartzii var. albiflora (Boed.) Borg, Cacti (Borg), ed. 2: 368. 1951 syn. sec. Guzmán & al. 2003
- =Mammillaria coahuilensis var. albiflora (Boed.) Boom in Succulenta (Netherlands) 1963: 163. 1963 syn. sec. Guzmán & al. 2003
- =Mammillaria heyderi subsp. coahuilensis (Boed.) A. Lüthy, Taxon. Untersuch. Gattung Mammillaria: 192. 1995 syn. sec. Guzmán & al. 2003