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 50180252) with original publication details: Mammillaria Handb. 307, f. 279 1945.
Full publication details for this name can be found in IPNI: http://ipni.org/urn:lsid:ipni.org:names:150710-2.
This name was in version 1 of The Plant List, record tro-50180252.