"One force [British] burned Washington but failed to capture Baltimore, and sailed away when its commander was killed. In northern New York State, 10,000 British veterans were marching south until a decisive defeat at the Battle of Plattsburgh forced them back to Canada.[b] Nothing was known of the fate of the third large invasion force aimed at capturing New Orleans and southwest. The Prime Minister wanted the Duke of Wellington to command in Canada and take control of the Great Lakes." [i]

Sure, they burned the White House [battle won], but lost the war.

https://en.wikipedia.org/wiki/War_of_1812