This question is really a subset of a much larger issue but I'll limit myself just to this question.

I was correcting an English text written by a German in which the following sentence occured: "I'll might accept you". I corrected it to "I might" and explained that "might" already expresses a future possibility and that there is no future form that can be constructed using "will".

Then out of curiosity I googled "I'll might" and found nearly a million hits! I'm quite astounded considering I had never before encountered this expression. In pursuing the issue, I found many other strange combinations such as: I'll shall, I'll will, I'll should, I'll ought to. These forms also occur in the 1st person plural, and the 2nd and 3rd persons singular and plural.

Can anyone shed any light on this?. Does this future form of a modal sound strange to others?

I've also seen modals used in past forms such as I'd should, I'd might, etc. I had learned that the modals are defective verbs which do not have all verb tenses. Is this an example of the language changing and evolving? Will we some day see all modals as full-fledged verbs with a full complement of all tenses?
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Believe it or not, Google is not authoritative as a source for proper English grammar. At best, your examples are from non-standard dialects. They could also be editing errors, where someone wrote I'll and then changed their mind not to use a contraction, wrote will and neglected to delete the 'll. It could also be just ignorance or sloppy writing.
This exactly (making the mistake of not erasing I'll) just happened to me....I wouldn't be surprise most those google "spit outs" are just that, mistakes...
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AnonymousI wouldn't be surprised most [of what]those Google "spit outs" are just that, mistakes...
I don't see it that way. I don't have the good fortune to work for Google, ( I wish I had ). Google is one of the marvelous inventions derived from the electronic revolution during the 80's. Many of these inventions and devices exist today owing it all to one single creation of mankind: Microprocessor. It is this invention that has completely changed our lives from the "snail pace" to "supersonic speed". But that is another story for those who are interested in science and history.

Just imagine what life would be like today for those whose daily existence depend on their beloved computers, laptops, smart phones, tablets and many conveniences that they take for granted. Make no mistakes, tools are instruments or vehicles designed to help us do certain jobs easier and faster. But we must learn how to use it correctly. Just like a chain saw, it can be dangerous if misused. Having said that, Google, in my opinion, is the best tool for learning just about anything, including English; only if one knows how. Google makes the Britania Encyclopedia look "stone-age". I agree, not all the Google information is valid. One must learn how to use it affectively, filter the hits and go through the contents to decide if the materials were the work of a credible source, or by an English speaking native. As we may find, many English references were authored by people of foreign origin and learners should be aware.