Exploring the shared origins of U.S. states with similar names

When you look at a state map of the United States you notice a few of them have the same names, North Carolina and South Carolina, Virginia and West Virginia, North Dakota and South Dakota. These are states that, in one way or another, split up, although some split upon statehood, others after it, and others way before the US were even a concept, putting into question if they are really states that split up or just states that originate from the same territory, thus sharing a similar name. In addition to those states that do share a name, there are also other ones in the US that were formed out of the territory of existing states or which originate from common colonies even though they today use completely different names. Kentucky, which was a part of Virginia, Maine, which was a part of Massachusetts, Vermont, which was a part of New York, Rhode Island was a part of the Connecticut colony too before setting off on their own, among others. US unorganized territories were once very large and encompassed what are multiple states each as well. For the actual cases of states splitting up, the US constitution admits this possibility even today as long as that internal secession is approved by the first state's government.