Western genealogies with Christian name, middle name, and surname formats are ill suited to Native American naming systems. The father of Wild Goose was not likely named "Wild Goose," but such a "surname" has to be used as a "peg" to express important family relationships.
Waggoner's collection of affidavits from 1838-39 (62a) shows that Wihaga was the niece of Wild Goose.. This makes her a cousin of Heigh-noh, a daughter of Wild Goose. (Waggoner, 61a) As cousins, they share the father of Wild Goose as their grandfather.