David Sullivan's side now face Carlow in the quarter finals.
Offaly secured victory over Westmeath in round three of the Intermediate Camogie Championship at the weekend.
The Faithful side were 2-14 to 2-6 winners over their midlands rivals and confirmed their spot in the knockout stages.
Faye Mulrooney and Mairead Teehan got the goals, with Clodagh Leahy finishing with 0-7.
It's Carlow next for Offaly in the quarter finals in two weeks time.
Manager David Sullivan says his side deserved the win:
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