To go with Hiawatha, there was the cofounder of the Haudenosaunee (Iroquois Confederacy) Deganawida, or "The Great Peacemaker." These two are purported to have met with a number of tribal leaders including an Oneida named Ohstahehte, a female Seneca named Jigonsaseh, and an Onondaga named Tadodaho. Of course, as with Hiawatha these are all somewhat mythical figures.

Although it is not pre-Columbian, the pre-contact Tlingit in Alaska have a story of an orphan named Gushklin which involves a number of named characters. As with the Iroquois mentioned above, his name later became a leadership title within the tribe.

I'm having trouble finding much more, although I'm sure there is, especially if it were expanded to Canada and Mexico.

According to the Saga of Erik the Red, Thorfinn Karlsefni's party managed to capture two Skræling children, whom were taught to speak Norse. They explained that their parents were Vætilldi and Uvægi, and that their people were ruled by two kings, Avalldamon and Valldidida. This is the earliest mention of specific named individuals native to pre-Columbian America that comes to my mind.

While I have a few in mind, I'll stick with one whose historicity seems most probable.

In 1660, the Governor of Maryland met with the tayac Uttapoingassinem, the leader of the Piscataway, the major Native polity in Maryland. Among the things the two leaders discussed was the method of Piscataway succession and the history of their leadership. Uttapoingassinem recounted that his most remote predecessor, also known as Uttapoingassinem had crossed over Chesapeake Bay from the east and established himself as the leader of a large confederacy, which included, supposedly, the Patawomeck (at that time part of the Powhatan Confederacy) and the Susquehannock (who formed their own confederacy). Uttapoingassinem I dynasty was in power for 13 generations, until Uttapoingassinem II's immediate predecessor, Weghucasso, took over after a succession crisis (Weghucasso's predecessor, Kittamaquud, had no suitable male heir and tried to pass his authority on to his daughter, which was rejected as going against custom, which dictated that authority passed from brother to brother, and from uncle to nephew).

Now, based on archaeological evidence from the site, the Piscataway capital of Moyaone (near modern Washington, DC) was founded in the early 14th Century. This matches rather nice with the roughly 14-15 generations between the founding of the Piscataway Confederacy and the time of Uttapoingassinem II. Now this doesn't confirm that Uttapoingassinem I or his brother and immediate successor Quokonassaum, it doesn't appear that the Piscataway's own oral history conflicts in any significant way with what modern archaeology is able to reveal.

Red Horn?

I'd be more wary of including Red Horn in a list of historical figures. He and his sons are enveloped in mythic trappings and appear to present a local expression of the widespread Hero Twin cycle.