With the tie ending in a 3-3 draw after a pulsating 90 minutes of action, the Reds received an extra point for prevailing in the spot-kicks.
Goalkeeper Anke Preuss was the hero as she saved two penalties in the shootout while Sophie Bradley-Auckland netted the decisive sudden death spot-kick.
Following the departure of manager Neil Redfearn on Friday, Chris Kirkland took charge of the side as caretaker-manager, assisted by Vicky Jepson.
The Reds made the perfect start when a well-worked set-piece led to the opening goal after just two minutes. A delivery from Christie Murray was flicked on by Rinsola Babajide and Bradley-Auckland netted at the back post.