This name is a synonym of Parodia stuemeri (Werderm.) Backeb..
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 50180586) with original publication details: Kakteenfreund 4: 50 1935.
Full publication details for this name can be found in IPNI: http://ipni.org/urn:lsid:ipni.org:names:183515-2.
This name was in version 1 of The Plant List, record tro-50180586, and has not been changed.