This name is a synonym of Stellaria vestita var. amplexicaulis (Hand.-Mazz.) C.Y. Wu.
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 50246014) with original publication details: Acta Bot. Yunnan. 7(1): 71–72 1984.
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 vestita in version 1 of The Plant List.