This name is a synonym of Pilea rivularis Wedd..
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 33400230) with original publication details: J. Linn. Soc., Bot. 22: 524 1886.
This name was in version 1 of The Plant List, record tro-33400230.