Hello--
Check those numbers again-- unless your canoe is 36 feet long and is therefore a very large war canoe, it should be "18" instead of "36" after the serial number. At any rate, compare the numbers on both stems. If there aren't numbers on both stems, perhaps your canoe isn't an Old Town and we need to narrow that part down.
I'll give you the information for Old Town 126782, which is an 18 foot AA grade guide model canoe finished February-June of 1939. It has white Maine cedar planking, mahogany decks, thwarts, and seat frames, a keel and a floor rack. It was painted design #43 and shipped to Charleston West Virginia on June 8, 1939.
The scan of this record is attached below-- click on it to get a larger image. This scan and several hundred thousand others were created with substantial grants from the Wooden Canoe Heritage Association (WCHA) and others. A description of the project to preserve these records is available at
http://www.wcha.org/ot_records/ if you want more details. I hope that you will join or renew your membership to the WCHA so that services like this can continue. See
http://www.wcha.org/wcha/ to learn more about the WCHA and
http://www.wcha.org/join.php to renew.
It is also very 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.
More information on the Old Town Company can be found in Sue Audette's book, "Old Town, Our First Hundred Years", which is available through the WCHA store and most booksellers, eBay, Amazon, and public libraries.
Scans of the guide model and the Old Town sail rig and design chart from the 1939 Old Town catalog were found on The Complete Old Town Canoe Campany Catalog Collection, 1901- 1993, available on CD from
http://www.wcha.org/catalog/ and
http://www.dragonflycanoe.com/cdrom.htm on the web.
Kathy