Greg Farrelly's side were in position to win until injury time in O'Connor Park.
Offaly's All Ireland Ladies Football campaign came to an end this weekend after an agonising draw against Monaghan.
The Faithful County needed victory over the Ulster side after they lost their opening game of championship campaign against Clare.
Despite trailing by three at the break, Offaly fought back to lead by one in injury time.
Monaghan won a late free as they applied pressure with Sarah Capaldi remaining composed enough to slot the equalising point and secure the her side an All Ireland Quarter Final place.
Cool Capaldi sends Monaghan into Quarter-finals!
— Ladies Football (@LadiesFootball) June 16, 2024
See late @MonaghanLGFA substitute Sarah Capaldi kick the equaliser against @OffalyLGFA to book a place in the TG4 All Ireland IFC last eight.
You can watch the @MQ_Video Live Stream back on your Facebook page. #ProperFan pic.twitter.com/DFEXzbILb0
The final difference between Monaghan and Offaly in the standings was a single point over the two games.
Elsewhere, Westmeath booked their place in the last eight of the intermediate grade with a 6 point win over Cavan.
Keeping Up Unbeaten League Start The Aim For Athlone Town Women
Two Pointer Rule Makes Big Difference To Gaelic Football - Emmet McDonnell
Shane Lowry Records Opening Round Of 72
Tullamore Town FC Ready For Red Letter Weekend
Busy Bank Holiday Weekend In Store For Athlone Town
Big Weekend Ahead In Leinster Minor And U20 Hurling Championships
Leinster SFC: Opportunity Beckons For Westmeath
Westmeath Footballer Luke Loughlin Ruled Out For Remainder Of Season
Laois And Westmeath Battle For Place In Leinster LGFA Decider
Alex Dunne Set For Action In Miami This Weekend
Fundraising Walk Planned For Westmeath Man Left Paralysed In Freak Accident
Shane Lowry In Action In Miami This Week
Westmeath Secure Leinster Minor Football Quarter Final
CCFL: Two Draws In Senior Division
Potential Hometown Fight On The Cards For Joe Ward
Ava O'Connor Breaks Personal Steeplechase Record
Laois Fixture In Two Weeks A "Massive Game" - Kevin O'Brien
Camross Camogie Honoured In Laois Following Historic All-Ireland Triumph
Athlone Town Secure Vital Win In Women's Premier Division
Laois And Westmeath To Clash In Leinster Camogie Decider