Pablo Counago scored the goal for the blues on the half hour mark in a match where the Spaniard and fellow forward James Scowcroft linked up to good effect.
West Ham struck back with 25 minutes remaining following an error from Aidan Collins of which Hogan Ephraim pounced on, but needed two attempts to score after the first one was saved by Town keeper Shane Supple.
Reserves Side: Shane Supple, Scott Mitchell, James Krause, Jimmy Juan, Aidan Collins, Gerard Nash, Dean McDonald, Liam Manning, Pablo Counago, James Scowcroft and Owen Garvan.