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:
Westmeath Face Must Win Meeting With Meath
It's been a bruising Joe McDonagh Cup campaign for Joe Fortune's hurlers.
Lowry Starts Late For PGA Championship Assault
The Offaly golfer will be joined by Nicolai Hojgaard, and Jason Day.
Offaly's Team Game Ready For Kilkenny Test
The county's under 20 hurlers are playing for another Leinster final this evening.
Sheedy Claims Record Extending Leinster Pitch & Putt Matchplay Title
The Ryston Pitch and Putt player beat her club mate to win an 11th matchplay crown.
Offaly Looking To Shake Off Kilkenny Fear Factor In U20 Blockbuster
Both counties enter tomorrow's semi-final in impressive form.
Athlone Keep Pace In Women's Premier Division
Ciaran Kilduff's side continued their good head to head form against Wexford on Saturday.
"We Have To Get Back On The Horse" - Justin McNulty
The Laois senior football manager wants his players continue their championship campaign with belief.
Westmeath's U20 Footballers Claim B Championship Final Spot
Brían Cooney led the scoring for the Lake County with five points.
Laois' Healy Savouring London Win In Tullamore
The Exiles were 2-20 to 0-12 winners over Offaly on Saturday.
I Could See From The First Minutes We Were Off - Declan Kelly
The Offaly manager talks to Midlands 103 after a seismic championship defeat.
McIlroy Wins Wells Fargo While Lowry Struggles
Lowry, McIlroy, and Padraig Harrington will tee it up at Valhalla on Thursday.
Offaly's Minor Hurlers Fall To Wexford
An open game ended ten points in Wexford's favour.
Athlone Club Land Back To Back SFAI Cups
St Joseph's won the U16 Schoolboys Cup with a 1-0 win over Leeside on Sunday.
Town Continue Unbeaten Run With Win Over Bray
It's now six outings since Dario Castelo's side lost in the league.
Laois Let It Slip To Gift Carlow Draw
Justin McNulty's side had a commanding lead heading into injury time yesterday.
St Joseph's Back In SFAI Cup Final
The Athlone club are looking to pull off a unique Cup double.
"They're All Flying At The Moment" - Ciaran Kilduff Previews Athlone Town v Wexford
Athlone Town jump back in to Women's Premier Division action tomorrow evening.
Offaly's Minor Hurlers Face Stern Wexford Test
The sides meet in Kilcormac with a provincial semi-final place at stake.
Tailteann Cup: Laois Nervous And Excited By Championship Challenge - Justin McNulty
The Laois manager looks forward to this weekend's game with Midlands 103.
Tailteann Cup: David Dempsey Previews Offaly's Return To Championship Action
The Ballycommon man says he's enjoying playing in Declan Kelly's backline this year.
