I did a bit of digging around on the internet & everything I found was in agreement that a 335 marked J Stevens Arms & Tool Co would have been made between 1910 1915. The later ones were marked as J Stevens Arms Co.
These guns did have serial numbers. They had a quite efficient barrel check, coil mainsprings which operated via pushrods in the bar of the frame. They had cocking cams which protruded from the knuckle joint into the forend iron.
In my personal opinion, this line of guns was of a higher quality than the latter Savage/Stevens line, including the Fox B.