Barton took the lead in the 12th minute through Mark Kenneford, before Keshi Andersen added the second and third to make it 3-0 by the break.
Rovers continued to dominate in the second half and Kenneford notched his second on 52 minutes, while Nat Peacock swiftly added a fifth.
Andersen set up Rhys Hoenes to head home, before Peacock doubled his tally and then turned provider for Bilal Hassan to score the eighth.
Peacock rounded off his hat-trick late on as boss Dan Kennoy said: “It was a great confidence boost for the squad.
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“It’s important we keep our feet on the floor and continue the hard work as we go into a run of games now that will test us.”
Rovers face Arlesey tonight, Harlow on Saturday and then St Albans next Tuesday.