That chart that was put out by Lightner Library in 1976, shows 1907 as the first year, when in fact the A.H. Fox Gun Co. was incorporated in early 1905, and was advertising by October 7, 1905 --

My point being that chart is not worth much. Many guns stayed in inventory a long time. I've got two that are 14 numbers apart, but one was shipped in 1914 and one in 1918. I have copies of some of the sheets Roe Clark made up when he tabulated the graded 20-gauge guns for McIntosh's book. There are 50 serial numbers to the page, and at least one of those blocks has shipping dates from the late 1920s to 1940.
I've seen pictures of serial number 2 and have handled serial number 8, as well as a handful of Ansley H. Fox guns with two-digit serial numbers.
The only real way to find out about your Fox gun is a letter from the Savage historian, but there are only a few surviving production cards below serial number 9600. So, you are on your own!!
One way to sort of get an idea, is from the patent dates stamped on the watertable. The very earliest A.H. Fox Gun Co. guns have --
PAT'D AUG.1 1905
OTHER PATENTS PENDING
Then we come into guns that have --
PAT'D AUG.1 1905
OCT.17 1905- JAN.16 1906
Then you get guns that have --
PAT'D DEC 2 1902
AUG.16 1904 AUG.1 1905
OCT 17 1905 JAN 16 1906
The Dec 2 1902 and Aug 16 1904 dates are for patents that were originally assigned to Philadelphia Arms Co., and the A.H. Fox Gun Co. didn't own them until they bought out Philadelphia Arms Co. in October or November 1906. Neither really apply to the Ansley H. Fox gun at all?!?