This name is a synonym of Riccardia chamedryfolia (With.) Grolle.
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 35190085) with original publication details: Bot. Arr. Veg. Gr. Brit. 2: 699 1776.
This name was in version 1 of The Plant List, record tro-35190085, and has not been changed.