Mark Simpson reached the landmark of 100 goals for Garforth, but his strike proved to be just a consolation, as Barton ran out winners.
Adam Millson, Marc Cooper and Waide Fairhurst put the home side into a commanding lead within thirty eight minutes.
Simpson gave Garforth a glimmer of hope five minutes before half time, but the Miners couldn't add to that strike and left the Easy Buy Stadium pointless.
Match report to follow...