Their British America

After a series of victories by British forces at the conclusion of the, Britain adopted a policy that the Thirteen Colonies should pay an increased proportion of the costs associated with keeping them in the Empire. Britain imposed a series of direct taxes followed by other laws intended to demonstrate British authority, all of which proved extremely unpopular in America. This increased taxation in the Americas led the Thirteen Colonies to declare independence, a great loss for the British.

But what if the British didn't impose the taxation laws on the Thirteen Colonies? What if they only taxed the Province of Quebec? What if Britain had Their British America today?

Political

 * Quebec: Because of constant French upheaval, the British decide to "punish" Quebec by imposing taxes, while leaving the Thirteen Colonies alone. Quebec inhabitants are furious with the new taxation; an uprising takes place, but is foiled with the little amount of support. The province is divided from the Ottawa River, and the new area is named Ontario.
 * Thirteen Colonies: Without harsh taxation, the Thirteen Colonies' only concern was the lack of representation; a request to have representation for each colony was issued instead of demanding by force. Eventually, the Thirteen Colonies expand to the Mississippi River; Ontario joins the Thirteen Colonies and the colony is renamed the Commonwealth of British America. Quebec declines to join.
 * Texas: Texas gained independence after the, and was not annexed by British America, thus there is no American-Mexican War.
 * Mexico: Without an American-Mexican War, the Mexican Cession remains apart of Mexico.
 * Oregon:
 * Alaska: