This name is a synonym of Mammillaria standleyi (Britton & Rose) Orcutt.
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 50181098) with original publication details: Cact. Succ. J. (Los Angeles) 12: 155 1940.
Full publication details for this name can be found in IPNI: http://ipni.org/urn:lsid:ipni.org:names:151709-2.
This name was in version 1 of The Plant List, record tro-50181098.