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:
Offaly Host Laois In Midlands Derby
The home side are in desperate need for a win.
Offaly's Road To Promotion Continues This Weekend
The Faithful County have been in great form.
Must Win For Westmeath To Avoid The Drop - Gerry Buckley
The Lake County suffered another narrow defeat last weekend.
Athlone Town Take On Treaty United Tonight
It's the first home game of the new season.
Kildare Next Up For O'Moore County In Division 3
Laois go into the weekend searching for their third straight win.
Westmeath Take On Down In Ratharney
The Lake County will be hoping to respond from their opening day defeat.
Laois Host Kildare In Camogie Division 3 Opener
Their push for promotion starts here
Croke Park Awaits Offaly Hurlers This Weekend
It's a clash between two unbeaten teams.
Westmeath Ladies Searching For First Win In Division 2
They face a high flying Galway side.
It Will Be A Formidable Challenge - David Sullivan
It's a battle between the two beaten All Ireland Intermediate semi finalists
Robbie Henshaw Starts At 12 As Ireland Squad Announced
It's now back to back starts for the Athlone man.
Portlaoise Panthers Looking To Get Back To Winning Ways This Weekend
It's all to play for in the race for the play-offs.
Offaly Boxer Lands Celtic Title Shot
Paul Loonam has his first shot at some prize-hardware in the professional ranks in April.
"It's Going To Be A Huge Test" - Robbie Henshaw Thoughts On Wales
Ireland will be looking to secure the Triple Crown This Weekend.
All Midland Counties Make Football Team Of The Week
Offaly and Laois will have eyes on promotion.
"I Was Stunned" - Former Offaly Manager Recounts O'Connor Park Meeting
The Edenderry man's future as Offaly manager was cut short unexpectedly.
Laois Boxer Cian Reddy Maintains 100% Pro Record
It's now three wins from three for the Mountmellick man.
Westmeath Football Manager Dermot McCabe Praising Players Despite Loss
It's now three defeats in three games for the Lake County.
Buccaneers Lose To Old Crescent In Division 2A
The Limerick side proved to strong at Dubarry Park.
Laois Football Manager Justin McNulty Not Getting Carried Away
It's been a good response since the opening day defeat to Offaly.
