John Maughan's men made amends for the Leinster Championship defeat last month.
Offaly have advanced to the next stage of the Tailteann Cup after beating Wexford by the narrowest of margins in Enniscorthy yesterday.
Goals from Diarmuid Egan, Niall McNamee and Lee Pearson sent Offaly on their way to a 3-11 to 2-13 win in the preliminary first round.
They now have the opportunity to host Wicklow in the first round of the Southern Section this weekend.
Offaly Manager, John Maughan, described it as a test of the character of his panel, and praised Niall McNamee for his impact after returning from injury:
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