You should also re-check that number...with the deck style that your canoe is built with the number is logically more likely to be 11,063 or something in that number range. The boats built in the 1,000 number sequence were of a noticeably different style. The tag would also have likely been located on the inside rail.
There is one other possibility if the SN is indeed 1063. The boat could be a Veazie, a Morris built boat that was sold directly by the Morris factory and outside of their dealer network. Veazie SN's are much lower than the Morris numbers. The dating table that is posted on this site does not provide Veazie build dates. For example, my Veazie #320 is likely to have been built in 1907/08. The dating table would suggest a 1900ish build date if it was a Morris.
The Veazie canoes are believed to have been built with a "keyhole" or long deck. I am not aware of one with the concave decks that are evident on this canoe but that does not mean that they weren't made. A Veazie customer could have a Veazie canoe built that was identical to a Morris. It is entirely possible that a Veazie tag could have been stuck on a completed Morris to fill an order.