This name is a synonym of Barbilophozia quadriloba f. cephalozielloides (R.M. Schust.) Potemkin.
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 35207625) with original publication details: Hepat. Anthocerotae N. Amer. 2: 278. f. 144 1969.
This name was in version 1 of The Plant List, record tro-35207625.