Renishaw SC were too good for Shirebrook Rangers with goals from Jamie Plaweky, Stuart Grainger and Tony Deane sealing all three points for the home side.
All Inn maintained their title push with a convincing victory away to Tibshelf.
The visitors were four goals to the good courtesy of strikes from Rocky White, R Morton and a brace from C Humphries before Stefan White hit a consolation goal.
Nags Head put three past their hosts Holmewood & Heath to secure a well-earned victory.
Dave Marshall, Paul Mosley and Nicky Frampton were the marksmen for Nags.
A brace apiece for Scott Taylor and Ryan Wain was enough for Hopflower to see off visitors Chesterfield Town.
Neil Hollingworth got Town’s goal with a header from a Craig Purcell cross.
Holmefield Arms helped themselves to four goals to see off their visitors Middle.
Daniel Ward hit a brace with Ashley Rouse and Shaun Marsden making it four, Middle’s consolation effort came from a converted penalty kick.
Premier League: Hopflower 4 vs 1 Chesterfield Town; Holmewood & Heath 0 vs 3 Nags Head; Holmefield Arms 4 vs 1 Middle; Renishaw SC 3 vs 0 Shirebrook Rangers; Tibshelf 1 vs 4 All Inn; Clowne Villa Res vs New Houghton - postponed.
Byron Cup quarter-finals: Shirebrook v Renishaw SC; Nags Head v Chesterfield Town; All Inn v Tibshelf
Premier League: Clowne Villa v New Houghton Villa; Holmefield Arms v Hopflower; Holmewood & Heath v Middle Club.
l Clubs with the permission of the League can kick off early because of the Wales v England Euro 2012 qualifier if the referee agrees.