I am borrowing Doug Hoff's Annyfn and Vinland for the Timeline
The Welsh: Republic of Annwyfn [approximately OTL's Alabama and Mississippi], capital Tremadoc
To call Annwyfn a 'republic' is to lay quite a bit of gilt on the lily. It is a republic in the sense that it has no monarch. Or any government at all, for that matter. Shortly after the arrival of the last flotilla from Gwynedd in 1175, Madoc had one of his trademark mood swings, triggered by some persistent squabbling among the leading families. And, abandoning his charges, off he went, deep into the wilderness, eventually settling high in the mountains at Dywydd Briga ["Weather Top" OTL's Lookout Mountain] with about a dozen or so dedicated followers. Among those he left behind, disorder ensues, as does a series of [in]felicitous accidents, homicides and what-not, the Welsh settlers find themselves almost entirely without a noble class. The peasantry, by now quite discontent and disillusioned with the people who led them across the Mor Werydh ["western seas"] only to desert them, turn on the few surviving nobles. When all is said and done, they are left on their own to clear the land and make a life for themselves. As Brihtwine puts it, "the Welsh of Annwyfn will suffer no governance and do not hesitate to raise their hands against any man who attempts to issue commands or take on lordly airs." In other words, they have a state with no government above the village level - There is law. Judges, juries are and sheriffs chosen on an as-needed basis and the few literate men, the vast majority of whom are priests, are charged with recording the Common Law of Annwyfn. And speaking of the Church, the Popes do not forget about the Christians who have departed for the end of the world. The Church appoints Bishops for Annwyfn, although its exact location is not exactly well-known, even in Wales. This is a ready-made situation for absentee Bishops well until the early thirteenth century. And so Christianity suffers among the Welsh of Annwyfn. Their priests are decidedly uncelibate and the priesthood becomes predominantly, but not exclusively, hereditary. The liturgy is rather peculiar by European standards. Latin has largely vanished and Mass is conducted in the vernacular, with the entire congregation receiving communion in both types. Once more sustained contact with Europe is established after da Conti's expedition, Rome dispatches a resident bishop and priests in an attempt to get the Annwyfnians back on the doctrinal reservation. Annwyfn, like the other European settlements, starts with subsistence agriculture, with land-use - villages surrounded by fields that are plowed in furlongs, with each household owning strips. The Annwyfnians also trade with their neighbors and buy salt, torsk [salted fish], wadmal [cloth], raw iron and other goods that make their way down the Yardina [Mississippi] River.
The Romans: Nova Roma {Approxamiatley East Texas...and border from OTL Fort Worth down to Laredo} Capital..Nova Palatina(OTL Houston)
Nova Roma, after several accidental shipwrecks and atlantic crossings have landed the Shipwrecked sailors and Merchants in Texans. The Romans have followed something liike the model used by the Spanish in their colonies. They have established themselves as the ruling class in what are, primarily, native societies, and forcibly imposed a veneer of Roman culture over the old native civilizations. Latin is in the process of replacing the various native tongues, much as Spanish did in the OTL. However, unlike the Spanish, they are interested in more than just looting the new lands of their mineral wealth, which has two effects on their colonization...they don’t expand as rapidly as the Spanish did (they don’t have reebooting expeditions going off into unexplored areas seeking "Lost Cities of Gold," for example), and the areas they do occupy are more heavily settled by Roman colonies. That and the sheer size and power of the Muslim Controlled Aztec Empire, forces the Romans to abandon their Imperlistic Polcies and profit from the Valuable Lumber trade with the Aztecs.