1963 Valiant Wagon "Candy girl"

A group 34 is the wrong group battery for your car. It should be a group 24. The 24 though is even taller, so that won't work. A group 58 battery is 7" tall. That's 1" shorter than your 34. A 58 with the correct post orientation will work.
For as simple as the electrical system is in this car, I prolly, don't need 1000 cranking amps.

I usually get 1000 cranking amp batteries because they get around, I use this one to power the trailer winch and anything and everything else. Nothing is more frustrating than a weak *** battery.