After a goalless first half, the deadlock was broken just before the hour mark when Lincoln counter attacked to devastating effect.
Damian Spencer's gilt-edged chance was headed straight at Robert Burch and moments later Davide Somma slotted home his ninth goal since joining on loan from Leeds.
The game turned when Anthony Straker found Marvin Morgan, who stumbled as he slotted home in the 69th minute.
Shots went ahead four minutes later when Dean Morgan cut in from the left to strike a powerful effort from just inside the area.
The game was then sealed after Marvin Morgan rose at the far post to head home his 16th of the season 15 minutes from time.