The English translation of the name is given as "White Wolf." Ongs-ka-ka is in fact a corruption of Šųk-ska-ga, which literally means, "White Dog." Šųk denotes a dog, šųkjąk, a wolf. Šųk-ska-ga is normally a name in the Wolf Clan (Lurie), but by birth he will have been a member of the Thunderbird Clan. So the name must have been given to him as an honorific name in connection with some incident or attribute now lost to history.
Nancy Oestreich Lurie, "A Check List of Treaty Signers by Clan Affiliation," Journal of the Wisconsin Indians Research Institute, 2, #1 (June, 1966): 50-73.
Publius V. Lawson, "The Winnebago Tribe," Wisconsin Archeologist, 6, #3 (July, 1907) 78-162 .
WikiTree profile DeKaury-9 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. 
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It may be possible to confirm family relationships with Šųkskaga 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 Šųkskaga: