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.
9. James Roberts celebrates his first goal
James Roberts celebrates his first goal. Picture by Dave Haines Photo: -
10. James Roberts celebrates after heading Hawks in front with Oscar Gobern and Benny Read
James Roberts celebrates after heading Hawks in front with Oscar Gobern and Benny Read. Picture by Dave Haines Photo: -
11. Benny Read tussles with Dulwich's George Porter
Benny Read tussles with Dulwich's George Porter. Picture by Dave Haines Photo: -
12. Hawks loanee keeper Brad House made a winning debut against Dulwich
Hawks loanee keeper Brad House made a winning debut against Dulwich. Picture by Dave Haines Photo: -