The Welsh club ended a month-long winless run after overcoming Exeter last week, and goals from Ismail Yakubu and Danny Crow ensured they claimed another three points after surviving a Gulls fight-back courtesy of Ade Azeez' goal.
The visitors made a bright start and Harry Worley was forced to intercept a tantalising Jordan Chapell ball in the opening minutes.
But the hosts took the lead shortly before the half-hour mark with Yakubu climbing above the defence to nod Robbie Willmott's free-kick past goalkeeper Martin Rice.
They then landed a further blow on 36 minutes.
Again Willmott provided the opening, he found Conor Washington with a superb ball and the 21-year-old cut inside to feed Crow, who expertly finished with his left foot.
The Gulls came out fighting in the second half and forced Lenny Pidgeley into a succession of fine saves before finding the back of the net through Azeez.
They continued to press but were unable to get another breakthrough as County hung on.