I'm glad to have found this thread as I have an ancestor from Walkerfield/Wackerfield.
In Kelly's Directory it says,
'Walkerfield township is 2 miles north-west from the church. The Duke of Cleveland K.G. is lord of the manor and principal landowner. The area is 690 acres; rateable value, £1,085; the population in 1881 was 128.
— Kelly's Directory of Durham (1890)'
I think either the place was called Walkerfield, but it was changed to Wackerfield, or there are a large number of misspellings.