The record derives from WCSP (in review) (data supplied on ) which reports it as a synonym with original publication details: Mag. Neuesten Entdeck. Gesammten Naturk. Ges. Naturf. Freunde Berlin 7: 194 1816.
Full publication details for this name can be found in IPNI:
This name record (from WCSP (in review)) was not included in version 1 of The Plant List. It is possible the same name was included from a different data source, to check this you can search for Stellaria stephaniana in version 1 of The Plant List.