displaced by Euro-Americans, the Shawnee were primarily in the eastern part of the Midwest, especially Ohio. Their ancestors would have had to sail the Pacific, cross the Isthmus of Panama, and travel overland several thousand miles through changing habitats to reach what today is Ohio. Each habitat change would require different sets of survival skills to learn, which would have altered their culture. That's a lot of changes to make and still maintain a memory of a Pacific crossing. Besides, crossing the Pacific was a very difficult undertaking requiring the boat-building and navigational skills of a maritime oriented people. The only people known to have been capable of it from ancient into more recent times are the Polynesians and that was after North America was already occupied.
From archaeological evidence, linguistic family studies, and DNA haplogroups, it looks like some people traveled by boat on a northern route at least 20,000 years ago and possibly earlier. That would have taken them from northeastern Asia along the southern shore of the Bering land bridge, to the Pacific coast of North America.
Some continued going south down the Pacific coast of North America. Since they could travel by boat some adventurous groups might have reached North America before Beringia completely connected Asia and North America.
While some continued south down the coast, others apparently followed rivers inland, south of the glaciers and spread out from there. The dates of Meadowcroft Rockshelter in PA indicate human presence 14,000 years ago, before the glaciers melted. Deeper levels at Meadowcroft suggest even earlier dates.
Another path was on land, across Beringia into Alaska, where they remained until glacial decline made inland northern North America (Canada and the US northwest) more accessible to them. (That's the old Clovis theory.)
Fairly recent DNA studies show that Polynesians did reach Peru, but that was after Peru was already settled by people from Asia. The Polynesians carried on trade and intermarriage with the people of Peru, but were not the first to reach Peru.
The latest arrivals to North America (5000 to 7000 years ago, if I remember right) were the ancestors of the Innuit people who live in the Arctic regions today.
Different routes by different groups at different times. But all of them originated in Eastern Asia.
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