Augah is a minor corruption of Hága(ga), a birth order name for the third born son. In the list of sons, Old Gray-haired Decora, and Raisin Decora, were given birth order names, so this is in keeping with the structure of the list. Given a birth spacing of 1746, 1750, we could expect Hága to have been born ca. 1752. He could not therefore, be the offspring of Flight of Geese, who married his father late in his life.
Publius V. Lawson, "The Winnebago Tribe," Wisconsin Archeologist, 6, #3 (July, 1907) 78-162.
WikiTree profile DeKaury-7 created through the import of The Sammons Family Tree.ged on Jun 9, 2011 by Steve Sammons.
Source: S2852711167 Repository: #R2852704208 Title: Public Member Trees Author: Ancestry.com Publication: Online publication - Provo, UT, USA: The Generations Network, Inc., 2006.Original data - Family trees submitted by Ancestry members.Original data: Family trees submitted by Ancestry members. Note: This information comes from 1 or more individual Ancestry Family Tree files. This source citation points you to a current version of those files. Note: The owners of these tree files may have removed or changed information since this source citation was created. Page: Ancestry Family Trees 
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It may be possible to confirm family relationships with Rucgeskaga by comparing test results with other carriers of his ancestors' Y-chromosome or mitochondrial DNA.
However, there are no known yDNA or mtDNA test-takers in his direct paternal or maternal line.
It is likely that these autosomal DNA test-takers will share some percentage of DNA with Rucgeskaga: