[aaaxyz]

The US did try to annex the province of Quebec in 1775 but retreated after failing to take Quebec city (which was the biggest city at the time and controlled access to the saint Lawrence river). That was probably the closest Quebec got to joining the USA. The other two attempts (1812 invasion and 1837 rebellions) were even less successful. https://en.wikipedia.org/wiki/Invasion_of_Quebec_%281775%29