That puts them on 11 points after eight games in the East of Scotland Football League’s first division conference B three ahead of their opponents at the weekend.
Discipline was to thank for that victory in Fife, according to Rovers manager Mikey Wilson.
The Borderers kept theirs and headed back south with three points in the bag, but their hosts didn’t, giving away two penalties, both converted, as well as having a player sent off.
“We scored two goals via penalties, and I was very proud of the way the lads kept their discipline when it looked like things could get out of hand with a few off-the-ball challenges going in on them,” said Wilson.
Rovers did concede a penalty themselves but it was saved by Jack Stewart.
At the other end of the pitch, David Lindsay put away both of Rovers’ spot kicks in the 80th and 90th minutes after Ross Lamb had put them ahead on 35 minutes.
Midfielder Charlie Denton was the hosts’ scorer on 59 minutes.
Next up for Peebles is a trip back north over the Firth of Forth to Kinnoull this Saturday, December 5.
That game, to be played behind closed doors, kicks off at 1.30pm at Perth’s Tulloch Park.
The visitors are four league places and two points behind their hosts, having played one more game.