Named after Thomas Gwyn Empy Elger - British astronomer (1836-1897).
Elger is a lunar crater that lies along the southern edge of Palus Epidemiarum, the Marsh of Epidemics, in the southwest part 's near side. The rim of this formation is rough and somewhat eroded formation, with a break and an outward bulge along the northern end, while a ridge intrudes into the southern rim. The interior has been resurfaced by lava, although the albedo of the floor is not quite as low as the lunar mare surface to the north. (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.