Named after John Grigg - New Zealander astronomer (1838-1920).
Grigg is a lunar crater on the far side. The rim of this crater is generally circular, with a small impact crater intruding into the eastern edge. A small crater fills the northwestern part of the interior floor. (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.