'63 would likely be one of the first years of the torsion axle system. (A couple of years previous Air Streams had leaf springs) If the trailer has been neglected shocks may be just a fraction of the issues you may have with the running gear.
To answer your question .... that year (1963) the shocks were mounted vertically. In a more or less up and down position. Unlike later years of horizontal mounted shocks which are a dealer only item. I would not necessarily get a very stiff shock and I would start looking at other items of the running gear. Specifically the axles and the torsion spings inside that axle(s). These are not serviceable and at 50 years of service they have reached the end of their life. Replacing shocks may help and the real issue is going to be springs.
1966 Mercury Park Lane 4 DR Breezeway 410 4V, C-6, 2.80 - Streamless.
1966 Lincoln 4 door Convertible 462 4V 1971 Ford LTD Convertible 429 4V Phoenix ~ Yeah it's hot however it's a dry heat!