This name is a synonym of Fissidens dubius P. Beauv..
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 35180649) with original publication details: Bot. Zeitung (Berlin) 22: 340 1864.
This name was in version 1 of The Plant List, record tro-35180649, and has not been changed.