The Lilywhites took the lead on 8 minutes from Juvhel Tsoumou before the doubling the lead on 26 minutes with a goal from Keammar Daley.
The Shrimps pulled a goal back on 67 minutes from Sean Breen. Five minutes later it was level when Mason McGeechan scored. The comeback was complete on 80 minutes as Morecambe took the lead with a goal from Jordan Burrow.