Arron Windsor’s long-range free-kick gave Stratford a seventh-minute opener and Jim Smith nodded home a second on 25 minutes.
The hosts pulled a goal back before half-time but it was 3-1 one minute into the second period when Lewis Califano punished a defensive mix-up.
Warwickshire hit back to make it 3-3 with 15 minutes left but with two minutes left Jamie Grant sent a fierce header into the roof of the net for the winner.
George Robbins was named man of the match in a game which was a credit to both teams.
More in this week’s Herald.