This name is a synonym of Asterella leptophylla (Mont.) Grolle.
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 35204565) with original publication details: Ann. Sci. Nat., Bot., sér. 2, 18: 19 1842.
This name was in version 1 of The Plant List, record tro-35204565, and has not been changed.