It was comfortable for Armagh in the end as Aimee Mackin chipped in with four points while Niamh Coleman and Blaithin Mackin bagged the first half goals which put daylight between the sides.
Captain Kelly Mallon converted four frees for good measure.
While Armagh only managed to score three points after the break, it mattered little as they kept the Farney county at bay for the entire second half.
The Orchard, who finished runners-up in their group, behind All-Ireland champions Meath, can now look forward to a tussle with Kerry.
Check out our gallery from the game below. Photos courtesy of Vincent Loughran.