The Faithful were beaten by five points in the end.
Offaly suffered defeat in round two of their All Ireland Senior Camogie Championship.
Jack Maher's side were beaten on a final scoreline of 3-13 to 1-14 by Limerick on Saturday, leaving them sat on one win and one defeat after their opening two games.
Donna Kenny finished with 1-10 for the Treaty. with Lizanna Boylan and Laura Southern also getting on the scoresheet.
Clodagh Leahy was the top scorer for Offaly as she finished with 1-6.
Offaly travel to Kilkenny for round three this weekend.
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