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.
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