Player-manager Gaswirth said: "I missed our previous game but it was an embarrasing result.
"We wanted to make amends. Everyone had to man up and take responsibility. I told them either we wanted to compete for the league title or not.
"And we showed that we did by showing our composure and battling qualities."
Joseph Mann and Simeon Goodman gave the Whites a two-goal cushion at the break.
But the mid-table hosts responded via Yoni Green to set up a tense finish.