Hi,
I had a look at the entry on ancestry.ca that referred to this surname and I thought it looks more like Nawghick.
This surname was impossible to find so I tried searching ancestry.ca for Nawg* and Nagw*.
I looked through the 1921 census to see if anything would be remotely close and came up with the following that could be entertained in your search - Nahwaieglik (found in 1921 Census, Algoma East, Sub-district 84, first pages for Sucker Lake; and Nahwaikezhik. Also found this possibility in the 1911 Canada Census - Nahwikeghik.
Good Luck,
Jane (not related or researching these families)