Vale took the lead in the 72nd through Louis Dodds and Lewis Haldane completed the scoring with nine minutes remaining.
Adams said: "Doug changed the course of the game when he came on.
"His enthusiasm flowed through the rest of the team. We have to thank the ref for allowing the game to go ahead. We had to grind out the result and both sides went for it.
"We seem to be winning one and then losing one but our aim is to make at least the play-offs this season and if we can't achieve that then we are going to make things as difficult as we can for other teams who are hoping for the same."