The war of 1812 is an odd one that was kind of a low grade continuation of the revolution. The bulk of the fighting took place in the northern wilderness with the British attacking New Orleans as kind of a last ditch attempt to gain access to the center of the continent.
Time line
http://www.eighteentwelve.ca/?q=eng/Category/XML_List_Content&start=1813-01-18
And actually, the Battle of New Orleans took place after the Treaty of Ghent had been signed but before the news had reached the troops.
All those Brits died for nothing.