The No. 335 first appears in Stevens General Catalogue No. 53 around 1910 or 11. It was their entry-level hammerless gun with their new chopperlump barrels and wedge bolting. The higher grades, No. 355, 365, 375 and 385 have a rotary bolt, and the highest three Krupp barrels.
The older J. Stevens Arms & Tool Co. doubles had the mono-bloc breech that the barrel tubes screw into. In that series the entry-level was the No. 325 with wedge bolting. Again the higher grades had a rotary bolt and were No. 350 with high pressure steel barrel tubes; the No. 360 with twist barrel tubes; the No. 370 with Dmascus barrel tubes; and the No. 380 with Krupp barrel tubes.
The No. 335 was still in the Stevens line in the 1928 J. Stevens Arms Co. illustrated wholesale price list, but was gone by the 1930.