The U’s had a chance quarter of an hour into the game when Phoebie Poole broke into the penalty box, but she was denied by Anna Draper.
Three minutes later, United took the lead when Ruby Sealey broke down the wing and fired in from a wide position.
The U’s were immediately pegged back though, as Tyana Nee-Chambers squeezed through and levelled matters.
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A jam-packed three minutes saw United restore their lead, and began with Zoe Barratt seeing a shot from inside the six-yard box bounce off the post, before seeing a penalty saved by Draper.
Poole grabbed her brace though, after Jenna Legg drove towards goal and squared the ball for her to smash home.
The U’s wrapped up the win with 17 minutes to go, as Adele Lindbaek produced a drive and finish.