Substitute Johnny Breen finished this Ford FAI Cup tie with an eight-minute hat-trick to see Drogheda through to the last 16 against 10-man Mayfield.
Goals in the tenth and 12th minute from Peter Hynes – an overhead kick – and Declan O’Brien put the Drogs in command and Gavin Brennan made it 3-0 on the stroke of half-time.
Mayfield had Stephen Hurley sent off but then pulled a goal back through Greg Kelly before Breen took full advantage of the visitors being a man down.
Drogheda United: Gabriel Sava; Brian Gannon, Alan McNally, Derek Prendergast, Philip Hand; Cathal Brady (Dean Marshall 53), Eric Foley, Paul Crowley, Gavin Brennan (Sean Brennan 46); Peter Hynes (Johnny Breen 63), Declan O’Brien.
Mayfield United: Dean Winters; David Kiely, Anthony Wolfe, Ian Fleming, Damian Roddis; Eric Fleming (Wayne McBride 60), Mike O’Shea, Dean Grainger, Dave Warren (Johnny Buckley 77), Greg Kelly; Shane Finn (Stephen Hurley 66).
Referee: Neil Doyle (Dublin).