"We were very pleased with the players' professional approach to the game and the result was more comfortable than the final scoreline suggests," revealed Dobwalls' joint-manager Geoff Battams.
Port goalkeeper Richard Pennington saved from Nick Collins and Lee Caers before the latter raced clear to give the visitors a first half lead.
Dobwalls doubled their lead, a minute after the break, through Matt Lindsay and it was not until the last 15 minutes that Alan Thomas scored Port's goal.
Man of the match: Jeff Dillon (Dobwalls).