Emyvale survived a second-half fightback by Liverpool's John Mitchels in Birmingham to book a semi-final date with Kildare's Two Mile House.
Daithi Colton's flick into the net in the opening minute sent the visitors on their way, and then Colton released Daniel McMahon to drill home a second goal midway through the first half.
Martin McAree converted five frees to leave the Monaghan club nine points in front by the interval.
However, Emyvale managed only one additional score in the second half as they played into a stiffening breeze. John Mitchels charged back, led from the front by Donegal native Michael Molloy, who swung over four second-half points.
Mitchels were dominant in midfield in the closing half-hour and added six points without reply to haul themselves into contention in the closing stages.
However, they were unable to find the goal which could have taken the game into extra-time.
Scorers -- Emyvale: D McMahon 1-3 (2fs), M McAree 0-5 (5fs), D Colton 1-0, D Bellew 0-1. John Mitchels: M Molloy 0-5 (4fs), D McConnell 0-2, M Magee, C Murphy, C McGlade, P Murphy, A Murray 0-1 each.
Emyvale -- G McCaffery; C Connelly, J Flannery, S McMeel; K McQuaid, J Bellew, M Brown; C Hughes, G McQuaid; D McAllister, R McAnespie, D Bellew; D McMahon, M McAree, D Colton. Subs: M Flannery for Hughes (56), P McCarron for Brown (59), B Askin for McMeel (66).
John Mitchels -- D Hickey; J O'Hagan, A Brown, N McShane; P Duddy, P McManus, S Rice; J McDermott, E Jackson; C Murphy, C Owen, M Magee; C McGlade, P Murphy, M Molloy. Subs: D McConnell for Jackson (43), K Kane for P Murphy (56), A Murray for McGlade (60).
Ref -- P Neilan (Roscommon).