The Oxford Names Companion:
Dictionary of Surnames:
Cullingworth English (Yorks.):
Habitation name from a place in West Yorkshire, originally in Old English as
the 'enclosure of the people of Cula'.
Dictionary of British Place-Names:
Cullingworth W.Yorks. Colingauuorde
1086 (DB): 'Enclosure of the family or followers of a man called Cula
(Old English personal name + -inga- + worth)