Two main origins: * English habitational surname from the village in Northamptonshire, which is named with the Old English personal name *Cōf + -s- + grāf (“grove, thicket”); recorded as Covesgrave in 1086 (DB). * Reduced Anglicized form of Irish Ó Coscraigh (“descendant of Coscrach”), a byname from coscrach (“victorious, triumphant”).

Etymology: Wiktionary (CC-BY-SA)