This name is a synonym of Conostomum pentastichum (Brid.) Lindb..
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 35107505) with original publication details: J. Proc. Linn. Soc., Bot. 4: 81 1859.
This name was in version 1 of The Plant List, record tro-35107505.