This name is a synonym of Arenaria monosperma F.N.Williams.
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 50312837) with original publication details: Fl. Brit. India 1: 229 1874.
This name record (from Tropicos) 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 crispata in version 1 of The Plant List.