FitzGerald is a large lunar crater on the far side. It lies to the west-southwest of the crater Cockcroft, and about two crater diameters to the northeast of Morse. This is an impact crater with features that have become softened and eroded by subsequent impacts in the vicinity. The younger satellite crater FitzGerald W is attached to the exterior along the northwest. (wikipedia entry)
A crater is a circular depression likely created by an impact event. On the Moon they are named after deceased scientists, polar explorers, astronauts or cosmonauts.