I think that the US would probably claim all of its OTL territory, and occupy as much of it as possible. I think the British might be able to take over Michigan, and perhaps Maine and some other bits of New England. I think the US keeps Pennsylvania/New Jersey, at least, probably as much of everything else as it can take. (This is assuming a more-or-less unified US, at least in the South, with a large population, survives and does fairly well for itself. The British will claim more if the US is well and truly balkanized, or collapsed as in the original Peshawar Lancers).
Why? The British have other priorities in expansion of their territory - the home islands, South/East Asia, Africa, South America, possibly parts of Europe. While the US sees the Northeast as "home territory", is much closer for expansion, and the British are much more likely to find other areas to have more useful natural resources (they may try for Boston or Providence harbor as a coaling port/naval stop). This still would be far from Ameriwank, of course - the British are still going to be "THE" power, with the US being about at the level of, or perhaps a bit beyond, Brazil.
Also, if you are going to go to the trouble of putting a bunch of tiny African states, there are going to be some Indian "states" in the Great Plains, Rocky Mountains, and desert southwest.
France-Outre-Mer probably maintains a bigger colonial network, as well. Given the short distance, they probably evacuate as many of their citizens as Britain does, even given political troubles. You made a good push in this direction already, but I think they will hold a greater portion of Italy and the western Mediterranean, rather than merely claiming it. Possibly the Angolan coast as well? It seems like one unclaimed area.
Oh, and the Russians will likely maintain actual territory in St. Petersburg and Moscow and their environs, for much the same reason the British recolonize the home islands (national pride).
China seems to be a good candidate for balkanization, as well. Sort of like the 20s/30s OTL - Japan occupies a large chunk of the Northeast and coastal lands, a British-aligned regime in the South/Southwest, lots of little warlords, maybe the Satanic Russians are poking their heads into Sinkiang. Probably a real mess.