Heigh-noh is puzzling. The nearest word would be heǧó, "swan." The proper form of such a name would be Heǧówįga, "Swan Woman." However, the correspondence may be too remote for confidence.
In an affidavit sworn on 20 Sept. 1838, "John Vunk, a white man, who being duly sworn according to Law doth say. That he is about 26 years old—That he was married in May 1836 to Heigh-noh, who was a full blood Winnebago woman, being the daughter of Wild Goose. and E-pe-ink-ah. That he has a son by his said wife, named john, who is now about twenty months old—That the child is smart & active and now resides with its parents." (Waggoner, 61a)