The capital city of the United States during the War of 1812 that was burned by British troops is Washington, D.C. Without seeing the map, I can't determine which number is closest to Washington, D.C. However, Washington, D.C. is located on the eastern side of the United States.
If you have the coordinates or a visual reference for the listed numbers, please provide them, and I may be able to help you identify the closest one to Washington, D.C.