I am sure this is not possible with any rearrangement of the sketch. I do not think that there is any connection between the miniature name and the original name. The sketch is called "Billy," and the full image is called "Peter." There is no connection between the two.
Also, if you have thumbnails, itβs not even a foregone conclusion that the source images still exist in the source location. Also, the API does not help to do reverse image searches.
The best you can do (as far as I know) is trying to clear the search for the reverse image based on the thumbnail. It will be in most cases - but certainly not in all cases - it will give you a large image URL. But only if the original image still exists. (Of course, scraping Google is a violation of TOS ... so keep in mind the flaws)
http://skyzerbbgerger.blogspot.jp/2013/01/google-reverse-image-search-scraping.html
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