Peter Valentine was among the scorers in the fixture, as he went over for a hat-trick.
Rose Bridge will now face Workington Town in the next stage of the competition.
Here are some of the best pictures from the Wigan derby:
1. St Pats V Ince Rose Bridge
Supporters arrive ahead of the game. Photo: Allan McKenzie/SWpix.com
2. St Pats V Ince Rose Bridge
St Patricks' team talk in the dressing room. Photo: Allan McKenzie/SWpix.com
3. St Pats V Ince Rose Bridge
The two teams walk out ahead of kick. Photo: Allan McKenzie/SWpix.com
4. St Pats V Ince Rose Bridge
Ince Rose Bridge's Reece Cunningham is tackled. Photo: Allan McKenzie/SWpix.com