The visitors were caught cold as Rochdale raced into a 3-0 lead inside the opening 15 minutes.
The home side soon broke away to score a second, Matt Done racing 60 yards before slipping a pass to Joe Bunney who fired low to Ingram's right.
Rose scored the third, collecting Ian Henderson's corner and curling a 20-yard effort wide of the hapless Ingram.
Jo Kuffour then set up a tense finish when he lifted a shot over Lillis from wide on the left to make it 3-2.
Both sides had chances to score again, Billy Knott firing straight at Lillis and Ingram pulling off fine saves to deny Rose and Done.
- Sports & Recreation
- Matt Ingram
- Josh Lillis