Roberts’ double - including a penalty - had helped Hawks into a 3-1 lead against visiting Dulwich Hamlet. And Wright, on as a second half sub, struck twice in the closing minutes.
With top two Ebbsfleet and Dartford both losing, third-placed Hawks are now just three points adrift of leaders Fleet.
In 106 previous NLS games under Doswell, Hawks had only scored five goals twice.
The biggest league win of his reign remains the 6-0 spanking handed out to Dorking in only his fourth game in charge in August 2019.
Fans had to wait until October 2021 for the second time, a 5-2 Westleigh Park victory over Concord Rangers.
Mo Faal was also on target against Dulwich, his ninth league goal of the season - the same as Roberts.
5. James Roberts celebrates after scoring Hawks' third goal
James Roberts celebrates after scoring Hawks' third goal. Picture by Dave Haines. Photo: -
6. Mo Faal fires Hawks' second goal past Dulwich keeper Charlie Grainger
Mo Faal fires Hawks' second goal past Dulwich keeper Charlie Grainger. Picture by Dave Haines. Photo: -
7. Mo Faal celebrates his goal
Mo Faal celebrates his goal. Picture by Dave Haines. Photo: -
8. James Roberts heads his first goal
James Roberts heads his first goal. Picture by Dave Haines Photo: -