In my limited experience working on aircraft structure designs, I always understood that stringers were smaller section longitudinal members that were used to stiffen stressed panels like wing and fuselage skins. While a longeron was a larger section longitudinal member that transfers/distributes loads around openings in the stressed skin panels (like hatches or doors) between several frames or ribs. For example, the Space Shuttle airframe has a very large payload bay opening on its top side, and there are two very substantial longitudinal structures, called "sill longerons", that run the full length of each side of the payload bay and tie together the frames ends. These sill longerons are two of the most substantial structures on the vehicle, and would definitely not qualify as "stringers".