The English finished the tournament in second place with nine points.
"We had a great performance today," said Canadian coach Francois Ratier. "The players stuck to the gameplan and we highlighted the weaknesses of the English around the breakdown. I'm really proud of the players today."
Wilson started the scoring in the 15th minute with a score into the corner.
Andrea Burk cut the lead to 5-3 five minutes later with a close range penalty.
Wilson would add her second try in the 25th minute, breaking free from a scrum close to the Canadian try line. England held a 10-6 halftime lead.
Amanda Thornborough would put Canada ahead by one just six minutes into the second half.
But it would be short lived as Amy Cokayne restored England's lead in the 63rd minute.
The Canadians had an opportunity to win the game in the final minute, but a penalty kick from Burk sailed just wide.
"The game is on one kick at the end so that's what it is," said Ratier. "No one can blame the kicker or the team. It was a fantastic effort."
New Zealand won the event earlier in the day with a 47-14 rout of the United States.
Canada finished last in the standings with two points.