Elisabeth Terland made it three goals in as many games for Albion.
But her afternoon was cut short by a head injury.
The Norway forward helped her side win 2-1 in a tricky-looking Conti Cup fixture at Championship leaders London City.
Victoria Williams grabbed the winner as she headed home a free-kick delivered by Megan Connolly, who was enjoying her first start after injury.
Terland struggled to get off the mark after arriving in the summer.
But she has now netted in the last two league games and added a simple finish this time as Katie Robinson set her up.
She left the action early in the second half after a collision with Lilly Agg.
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