This name is a synonym of Bacopa monnieri (L.) Wettst..
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 28101497) with original publication details: Fl. Bor.-Amer. 2: 22–23 1803.
Full publication details for this name can be found in IPNI: http://ipni.org/urn:lsid:ipni.org:names:806174-1.
This name was in version 1 of The Plant List, record tro-28101497.