Haydn Murray-Holme sent a superb ball down the right for Bradshaw and the winger’s pinpoint cross was finished off by Sonni-Lambie at the back post.
Liverpool now had hope, momentum and some belief.
Bradshaw and Oliver O’Connor combined well to force a desperate clearance from Charlton, while Inglethorpe sent an attempt a little too close to Woodham.
Chasing the game meant the Reds were having to gamble at the back, with Bernard denying Reid and Tate Elliott volleying over when he should have scored from a free-kick delivery.
Bradshaw struck narrowly over after being teed up by Sonni-Lambie, while McMillan missed a good chance as opportunities arrived at both ends.
Liverpool needed a lifeline and it was delivered by Inglethorpe when he headed home a Lee Forrester cross with three minutes and plenty of injury time to come.
Wiles’ charges threw themselves forward but a cross from O’Connor that deflected narrowly over was as close as they came to completing a comeback.
Team
Liverpool U18s: Bernard, O’Connor, Powney Wain (Inglethorpe, 46), Esdaille (Owen, 70), Clarke, Murray-Holme, Bradshaw, Upton, Sonni-Lambie, Ayman, Lee Forrester.
Unused subs: M. Wright, Hickman, Farkas, Martin.
