Ok lets run this down
The 13 lose and stay part of England.
Immigration is reasonably high but not anything like OTL as England is not as attractive nor immigrants as a free US.
France is financially is screwed as OTL so that happens much as OTL.
GB gets all the French territory most likly as part of some treaty.
GB gets all of Spains territory (not Mexico) one way or another.
Russia sells Alaska to GB. So GB ends up with most of North America minus Mexico/Texas. Texas probably does not win its independence as GB was much more restrictive on settlers moving into areas that they shouldnt. So less folks moving into Texas,
So with a smaller Area then OTL US and with less population the US wont be as economically significant as OTL but will still be powerfull.
GB wont put up with the civil war nonsense when it outlaws slavery so that is a plus as that means less loss of live and property so that will help.
On the other hand if France pushes Mexico then GB may get in a war and get Texas and California and what have you from that.
one way or the other This means that ultimately North America by the late 1800s North America is the jewell in the English Crown not India. Interestingly we may see a larger population of Irish and. Indians moving to North America during hard times in those countries. I also think that Australia is adversely effected as well North America is more attractive for Folks from GB itself and Europe if for no other reason then that it is closer and easier to ship things to and from.
So now we get to the Great War.
First we have issues with Why GB will get involved. For example the Naval Arms race with Germany is NOT going to happen. With North America in GB hands and with the wealth and industry from North America This means Germany has NO chance to stand ip to the Royal Navy.
The question then is if GB will sign a treaty to protect Belgium. As Noted GB controls much of. Africa, India, and basically all of NA. It does not need to worry all that much about who is in charge in Europe nor does it need Belgiam to be independent to help keep the English channel as the Royal Navy would squash any other navy like a bug.
So in truth i doubt that GB would get involved. At least to start. I tgink it would stay out and sell supplies and weapons and food to Russia and France (assuming they dont side with Germany against France, hard to say)
Germany…assuming that Germany exists This Germany will be better armed with a bigger army as it will not have much if any navy as this worlds RN is so overwhelming that Germany will not be able to compete at all so wont waste the money on a big surface fleet. It may build raiders and or try outvthe new fangled Subs . So i suspect that France is screwed as Germany will have a bigger better army (a little bigger) and odds are GB stays out so good chance that Germany pushes into Paris and France falls, or at least its government topples.
So lets assume Germany is in Paris but has to stop as it needs to turn to face Russia. This lets France form a new Government that continues to fight (unlikly but.. if we want a war)
So this brings us to a method of GB entering the war. Assuming Germany builds some experimental subs it could try to use these subs to limit shipping or maybe a Sub Skipper takes matters into there own hand and sinks a British ship, Ass in that GB has loaned money to France and France is about to collapse and GB enters the war.
Now once it gears up its military amd builds an Army from North America and gets it to France Germany is screwed.
But in truth this will never happen as the butterflies will eliminate the war as we know it.
The 13 lose and stay part of England.
Immigration is reasonably high but not anything like OTL as England is not as attractive nor immigrants as a free US.
France is financially is screwed as OTL so that happens much as OTL.
GB gets all the French territory most likly as part of some treaty.
GB gets all of Spains territory (not Mexico) one way or another.
Russia sells Alaska to GB. So GB ends up with most of North America minus Mexico/Texas. Texas probably does not win its independence as GB was much more restrictive on settlers moving into areas that they shouldnt. So less folks moving into Texas,
So with a smaller Area then OTL US and with less population the US wont be as economically significant as OTL but will still be powerfull.
GB wont put up with the civil war nonsense when it outlaws slavery so that is a plus as that means less loss of live and property so that will help.
On the other hand if France pushes Mexico then GB may get in a war and get Texas and California and what have you from that.
one way or the other This means that ultimately North America by the late 1800s North America is the jewell in the English Crown not India. Interestingly we may see a larger population of Irish and. Indians moving to North America during hard times in those countries. I also think that Australia is adversely effected as well North America is more attractive for Folks from GB itself and Europe if for no other reason then that it is closer and easier to ship things to and from.
So now we get to the Great War.
First we have issues with Why GB will get involved. For example the Naval Arms race with Germany is NOT going to happen. With North America in GB hands and with the wealth and industry from North America This means Germany has NO chance to stand ip to the Royal Navy.
The question then is if GB will sign a treaty to protect Belgium. As Noted GB controls much of. Africa, India, and basically all of NA. It does not need to worry all that much about who is in charge in Europe nor does it need Belgiam to be independent to help keep the English channel as the Royal Navy would squash any other navy like a bug.
So in truth i doubt that GB would get involved. At least to start. I tgink it would stay out and sell supplies and weapons and food to Russia and France (assuming they dont side with Germany against France, hard to say)
Germany…assuming that Germany exists This Germany will be better armed with a bigger army as it will not have much if any navy as this worlds RN is so overwhelming that Germany will not be able to compete at all so wont waste the money on a big surface fleet. It may build raiders and or try outvthe new fangled Subs . So i suspect that France is screwed as Germany will have a bigger better army (a little bigger) and odds are GB stays out so good chance that Germany pushes into Paris and France falls, or at least its government topples.
So lets assume Germany is in Paris but has to stop as it needs to turn to face Russia. This lets France form a new Government that continues to fight (unlikly but.. if we want a war)
So this brings us to a method of GB entering the war. Assuming Germany builds some experimental subs it could try to use these subs to limit shipping or maybe a Sub Skipper takes matters into there own hand and sinks a British ship, Ass in that GB has loaned money to France and France is about to collapse and GB enters the war.
Now once it gears up its military amd builds an Army from North America and gets it to France Germany is screwed.
But in truth this will never happen as the butterflies will eliminate the war as we know it.