Celtic made a flying start and struck three times in the opening 17 minutes and they also netted on three occasions in 14-minute spell on the restart.
Paul Walker, Aiden Savory and Aaron Hardy all helped themselves to doubles with Lewis Nightingale also on the scoresheet.
Ossett Town rescued a point after trailing 2-0 in a 2-2 home draw with Burscough at Ingfield. First-half goals from Michael Monaghan and Liam Caddick put the visitors 2-0 ahead, but strikes on the restart from Nathan Curtis (penalty) and Sam Akroyd salvaged a point.
A first-half brace from Ernest Boafo earned Brighouse Town a superb 3-1 away-day triumph at high-flying Spennymoor.
Ryan Hall put Town in front, only for Kallum Griffiths to soon put the hosts level before Boafo took over.
Max Leonard was at the double for Pontefract Colls, who saw off Winterton 4-2 to book their place in the hat for the third round of the NCEL League Cup. Aaron Moxam and Jack Mawson also struck for Colls.
Action in the West Riding County Cup saw Ossett Albion hold their nerve to triumph 4-3 on penalties after their tie with Knaresborough Town ended deadlocked at 2-2. Two goals were netted in the final minute of the game, with three arriving in the last ten minutes.
Calum Rodgers and Ben Parkes struck for Knaresborough, with the Albion marksmen being Kieron Thompson and Rob Bordman (penalty).
In the Sheffield and Hallamshire County Cup, Nostell’s worrying streak continued with their unbeaten run extended to 11 matches after slumping 4-1 at Handsworth Parramore.
James Kitson struck a consolation for Nostell.
Hemsworth MW lost out by the odd goal in five in a 3-2 loss to Stocksbridge Park Steels.
Sam Jones and Shane Kelsey netted for Welfare, with Rory Coleman and Corey Gregory (2) on target for Steels.
Tonight, Bradford Park Avenue welcome Salford City in an FA Cup third-qualifying round replay. AFC Emley welcome Liversedge in the NCEL League Cup second round and in the NCEL Premier, Thackley visit Albion Sports.