Jasmine Matthews, Rhiannon Roberts, Laura Coombs and Leandra Little were all on target for Neil Redfearn's side at the Riverside Football Ground.
After a bright start the pressure eventually led to the opener for Liverpool FC Women on 22 minutes, when Matthews found the net with a thumping header following a Christie Murray corner.
Roberts made it 2-0 when her initial effort was saved, but the Wales international made no mistake with the rebound.
Reds stopper Becky Flaherty was then called into action at the other end of the field when she made a stunning save at close range.