This name is a synonym of Primula duthieana Balf. f. & W.W. Sm..
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 50263161) with original publication details: Notes Roy. Bot. Gard. Edinburgh 19(93): 172–173 1936.
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 Primula moorcroftiana in version 1 of The Plant List.