7643 was assigned to a 16' Charles River in CS (Common Sense) grade with spruce gunwales and finish rails. It had oak thwarts and seats an long oak decks. There was a keel installed and outside stems. The original color was Dark Green. It was shipped to Jackson, MI in April of 1908. A copy of the build record is attached.
Some aspects of your canoe and this record seem right - it is 16' and it has finish rails. From the picture, I can't tell if it had outside stems or not, but it does not appear to have long decks. The decks could have been replaced. One of the decks appears to be heart shaped, though that could be a shadow.
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It is also possible that you could have another number or manufacturer if this description doesn't match your canoe. Feel free to reply here if you have any other questions.