1902 American Eagle

[longbarrel]

I am looking for help to ascertain exactly what I own. My difficulty stems from fact that most believe the 7.65 AE did not come with long barrels and as you can see from the photos the barrel carries no markings. Also, I have only found one other reference to a AE with a long barrel and it did not have the artillery sight.
I have done some research & read some of the AE imports through New York could have barrels of different lengths installed at customers request by the Luger import center located there.

So my questions are:
1- if the barrel at Luger import center is factual would the barrel carry markings;
2- has someone perhaps had a barrel made & installed.
Opinions & any info would be greatly appreciated.
Thanks
Bruce