Stranraer claimed victory from this encounter at Stair Park to move two points clear at the top of the table.
The only goal of an entertaining game came after 64 minutes when Graham Guy swung in a corner from the left and Murray Henderson's header found David Graham perfectly placed to tuck the ball in at the near post.
However, previous to that Morton were reduced to 10 men when Peter Weatherson was dismissed for an act of sheer folly after 54 minutes.
The frontman stupidly swiped a kick at Stranraer's John Fraser, leaving referee Downie with no option but to produce a straight red card.