Left-back Jacobson, promoted to stand-in skipper for the last two games, struck from 20 yards in the 49th minute to sink one of his former clubs.
Turner was pleased with the display of his side, once again packed with young players to provide energy, as they climbed above the Latics in the lower reaches of the npower League One table.
He said: "I think he's risen to his role as captain. He's put in two tremendous performances and that might have just given him that little bit of responsibility.
"We showed a lot of energy for this stage of the season, a lot of brightness in our play.
"We played some good stuff, some real pacy football and I was pleased with the manner we performed."