A third-minute goal from Barry's new signing Leon Jeanne was enough to divide the sides at Jenner Park. Second-placed TNS Llansantffraid FC have three games in hand on the leaders, however.
Tuesday's other match ended in a 3-1 victory for Aberystwyth Town FC against Connah's Quay Nomads FC. The hosts had to come from behind after Tommy Mutton put Connah's Quay in front after eight minutes. Glyndwr Hughes equalised a minute after half-time and two goals in the last three minutes from Matthew Duckett and Anthony Wright sealed the win.