The victory ensured the Swifts moved four points in front of Morton ahead of the Greenock team's final game against Partick Thistle.
After taking a lead just before half-time through Fraser Aird then adding to it after the restart when Luca Gasparotto headed home, the Light Blues worked hard to grind out the victory.
Wilson was delighted with the final outcome and paid tribute to those at his disposal for seeing the job through.
Commenting on the Rangers website he said: "The boys have done a great job. Ironically, I think that was the youngest team we've put out in the whole league campaign tonight through circumstances.
"We've really enjoyed the competition. Morton had a great season and we were really chasing them for most of the time. Queen's Park came up to challenge late on, but I think we've deserved it.
"We played well in the first half then defended our lead of both the game and the championship really well in the second.
"Our players are only young boys and they don't always realise the easiest way to do that is by playing in the other team's half.
"They'll learn from that. I thought we looked fairly comfortable all the same and had a number of chances to score on the breakaway.
"The Reserve League has been great for us and teaching the players a winning habit can't be underestimated.
"You can play with a bit of style as we did at times tonight and you can try to win games in different ways too.
"The most important thing though is the results and our boys have shown over the course they can both play and succeed without losing their style. That's really pleasing."