@fedwards9965@ramsey@paninid well said! Canada was considered part of England at the time, so it can all be said to be a war with england, but to your point, Canada beat the US over and over. It was true years later when the border for Maine was settled too.
Underappreciated anecdote from the war of 1812 is that the brits burned the white house and pissed on the ashes.