Hayford is a lunar crater. It is a isolated feature with the nearest named crater being Krasovskiy, some 300 km due south. Hayford has a well-defined edge that is not significantly eroded. The inner walls slope directly down to the floor, with little slumping or terrace formation. (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.