Goals in either half from Laura Rafferty and Ini Umotong secured the three points for Hope Powell’s side.
Playing in their first game of 2019, Liverpool FC Women boss Vicky Jepson was without influential players Jasmine Matthews, Rinsola Babajide, Rhiannon Roberts and Niamh Fahey.
The away side started brightly and almost took the lead inside the opening four minutes when a surging run from Felicity Gibbons saw her cut inside and curl an effort just past the post.
Reds stopper Anke Preuss then showed her quality with a brilliant close range save to palm a header off the line.