Five points were the difference in the victory.
O'Dempsey's got their Laois Senior Football Championship underway with a win in Portlaoise last night.
At half time there was just a point between last year's beaten finalists and Graiguecullen.
However O'Dempsey's pulled away in the second period to win on a final scoreline of 1-11 to 1-6.
Peter O'Leary is part of the O'Dempsey's management team - he says their scores just before half-time dealt a psychological blow to their opponents:
Final Weekend Of AIL Season
It's been a difficult season for both midland clubs.
Wexford Won't Need Any Extra Motivation - Laois Captain Brian Byrne
The midlanders have had the better of their opponents in recent meetings.
Laois and Offaly In Minor Hurling Action This Weekend
It's the first game of the campaign for the O'Moore County.
Offaly Take On Waterford In Division 1B Final
The Faithful County will look to cap off a successful league with a trophy.
Funeral Of Former Laois GAA Manager Mick O'Dwyer To Take Place Tomorrow
The former manager passed away yesterday morning at the age of 88.
Leinster U20 Football Championship Round Up
All the midland counties were in action.
Claire Melia Misses Out On Euro Cup Glory
It's been a remarkable season for the 25 year old.
Laois Footballers Begin Leinster Championship This Weekend
Wexford come into the game on the back of promotion to Division Three.
Athlone Town Take On Bray In League of Ireland First Division
The midlanders will enjoy home comforts once again.
Former Laois Manager Mick O'Dwyer Passes Away At Age 88
The former Laois manager passed away this morning.
Offaly In Search For New Manager As Brian Cosgrave Departs
The Faithful County start their Championship in a few weeks time.
"The Community Is Great" - Portlaoise Panthers Star Eric Anderson
The American has played an integral role in sides success this season.
Claire Melia Aiming To Become First Irish Women To Win European club title
The 1st leg leaves tonight's match evenly poised.
Leinster U20 Football Championship Resumes Tonight
Wesmeath take on the Last year's Leinster champions.
Aoife Dalton Showering Praise On Irish Rugby Set-Up
The Clara woman produced a try-scoring performance against Italy last weekend.
Offaly Trio Make Team Of The Week
It proved to be a great weekend for the Faithful County.
Bad Start For Midland Counties In U20 Leinster Hurling Championship
All Ireland Champions Offaly get their campaign underway this weekend.
We Need To Trust What We Are Doing - Dario Castelo
The Portuguese man remains upbeat.
Tullamore On Brink Of Relegation In AIL
They've only managed two wins all season.
The Lads Want To Play For Offaly - Declan Kelly
The Faithful County will be keeping an eye on Meath's game with Carlow this weekend.
