Apologies

My apologies for both the tardiness of this reply and for the length which I’m sure will bore most readers, but I felt compelled to run this one to
Ground…and that took longer than I thought owing to lack of time on my part
to do research.

The bottom line: Who knows? Depends how much you trust one man.

Okay, here's the story. After reading the OP I did an internet search and
found lots of examples, but little source documentation. I ended up purchased
a small pamphlet called "The Bullet-Proof George Washington" (Hereafter BPGW)
which is a recently-published tract on the legend that an Indian Chief once
met with George Washington and proclaimed that his warriors had fired at him
but kept missing, so they ascribed that to divine intervention and the chief
then prophesized that Washington would a) never die in battle, b) become the
leader of his nation and c) found a great empire...or words to that effect.

The tract had lots of and lots of references - over 30 - but unfortunately
none of them were indexed with the narrative of the story. I despaired
briefly having to track down all of these references that were really, really
obscure (many of them were school textbooks from 1880s-1920s...not the sort
of thing one finds in the local library...). Fortunately, I narrowed it down
by focusing on the two main instances that are in the narrative to explain what happened.

The first was that a woman by the name of Mary Draper Ingles, who had been
taken captive by an Indian raiding party at about the same time of the battle
which featured the supposed frustrated Indian sharpshooters. BPGW recounts that while in captivity Mrs. Ingles heard two French traders talking and
saying the name "Washington" over and over...when she asked them about
Washington, they recounted the story of his remarkable bullet-dodging.

I might give many reasons why this is unlikely...not the least of which was
how the Frenchmen - or Indian sharpshooters - would know who the heck
Washington was (he was comparatively unknown at the time), but the most
telling thing was that nowhere in BPGW's impressive bibliography is there the
only record of Mary Ingles' captivity, a 40-odd page recollection written by
Mary's grandson (in all likelihood she was illiterate) years after the event.
Instead the author used has a reference the (in my humble opinion)
inexcusable reference of a novel. In this case, "Follow the River" by a Mr.
Thom. While I shan't criticize Mr. Thom's novel, as I'm sure it is a good &
entertaining work, it does lack a certain quality of scholarship.

The good news is that Mr. Thom acknowledges that he did use Mrs. Ingles'
account as the base of his novel in the afterword. The bad news is that Mrs.
Ingles' account never mentions the incident. One is forced to assume, then,
that Mrs. Ingles' overhearing the Frenchmen talking is a product of Mr.
Thom's fertile imagination, but then was used as a fact by the author of
BPGW.