The Treaty was signed in December 1814 in Ghent, Belgium. Its known as the Treaty of Ghent. News of the Treaty took weeks to cross the Atlantic. The Battle of New Orleans was fought two weeks after the Treaty was signed, on January 8, 1815.
The Treaty said that Belgium was its own country, Belgium would be neutral and the European Powers that signed the Treaty would protect Belgium if is was attacked, It also confirmed the independence of the German speaking part of Luxembourg.
It is true that the Battle of New Orleans established a great wave of nationalism even though it occurred after a peace treaty had already been signed. The battle took place in 1815 and the peace treaty was signed in 1814.
The Treaty of Ghent was signed in Ghent Belgium on December 24, 1814. They decided on a 'status quo ante bellum', which means that things go back to how they were before the war. Borders and imprisonment was later solved in 1818.
The Treaty of London also called the First Treaty of London. It was signed in 1839 just after Belgium Independce was won. The agreements were that Belgium would not help any of the warring nations and the warring nations would not attack Belgium.