Greetings Julia!
Welcome to the Forums!
I agree with Mark, all Airstreams of the time period of your '62 and our '64s started out life with Marvel 2" couplers - - those that vary have typically been modified by a previous owner.
Something else that you may want to be prepared for if you are preparing your tow vehicle for a towing expedition with the coach. If the coach has not had its umbilical cord wiring modified, it
will not match the current industry standard utilized on the Bargman plugs on most modern tow vehicles. You can find the
1964-1965 Airstream Bargman Connector Wiring Schematic on the Airstream corporate website - - it will likely be very similar to that of the '62s. To verify the function of each wire, I have utilized a garden tractor battery with 24" alligator clamps to test the wires with both my '64 Overlander and '78 Minuet when towing them for the first time - - in each case the connector needed to be rewired (it helps to have a new connector that matches the one on your tow vehicle in your toolkit).
Good luck with your investigation!
Kevin