Christpher, If you gave the correct serial # (160410)? You can go to the PGCA Home page,click on "Manufacturing dates by serial#" input your serial # and the production date will be displayed. I got 1912. However I got my information from the "serialization book", a book that lists most of the Parkers produced and their barrel and stock configuration when they left the factory.
On the PGCA homepage you can also click on "Parker grades" and find the gun grade that matches yours. You'll notice the Trojan had a very uniquely shaped receiver.And as already noted you would have one of the first produced as the Trojan was introduced in 1912.
Source of a reproduction,
http://vintagegungrips.net/ao-p31.html
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"Double guns are a sport and a pastime built into a beautiful package to which I attach myself when entering the great theater of autumn, those days now grow more precious because we are given so few".. Robin Lacy