Laois finished their campaign on a winning note while Westmeath lost their third consecutive game.
Offaly's minor footballers will take on Wicklow in their Leinster Championship preliminary quarter final next week.
It's after the Faithful County's 10 point defeat at the hands of Dublin in Parnell Park on Saturday.
Offaly were well in the game at half time leading the Dubs by a goal, but the hosts dominated the second half to hold Roger Ryan's team to just one more score.
Elsewhere in the group, Laois finished their minor provincial campaign on a winning note after beating Longford by 0-15 to 1-6.
The O'Moore County will now drop into a tier three competition next month where it looks like they'll be joined by Westmeath.
The Lake County were beaten by Meath 2-11 to 1-7 which makes it three losses from three.
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