Is there a Latin name for Liverwort?

Yes, there are approximately 6000 Latin names for liverworts, that being the number of actual known species. The good news, however, is that they are at least all members of the phylum Marchantiophyta. These are the true liverworts that are sometimes confused as mosses.

To add to the confusion, there is another genus of plants, of the buttercup family, that is also sometimes called liverwort, but more often, liverleaf or hepatica. These plants do not resemble the true liverworts in any way, and are not related. They have heart-shaped, evergreen leaves and pretty flowers. The two species found in North America are Hepatica trilobaand Hepatica acutiloba.