Usually those spring shocks were installed for different reasons: Generally they were added to compensate for sagging leaf springs, for adding strength to the leafs for carrying heavier loads such as trailer towing or to change ride height.
I would remove them to see how the ride height looks first. Then you you will have to decide on your next course of action.
To the best of my knowledge that car should not have a coil/shock absorber.

With new leaf springs you would likely not need the helper coils on the shock. Shock mounts are not designed to take suspension loads, the weight of the car on the springs, so the right leafs for your desired ride height would eliminate the need for the helper springs. If you want the coils you could clean them and paint them so they look like new.

why not get some air shocks?  That way you can adjust the ride height.

The air shocks g-man is talking about are not an air bag suspension system, but a typical helper system for sagging, or heavy loads. The is a small bladder inside a shock that you can air up when needed, and air down when not, same principle as the helper coils added to your shocks, but easy to change as needed.

The shocks are not there to control body roll, that is not the purpose of a damper in the system, so the real way to fix things is to get good leaf springs and add a sway bar. When you add a rear sway bar you'll likely need to upgrade the front sway bar to maintain a safe balance in the vehicle handling. I've read some stories about guys getting scary vehicle dynamics when adding a rear sway bar and not stiffening up the front.

This is what I replaced the air shocks that was on my 1964 Galaxie with. I could not get the air shocks to work correctly. I'm guessing something was defective or broken inside one even though it wasn't leaking?  Really happy with the Monroe shocks so far, car rides nice, they also have the coil spring.

Monroe 58510 Load Adjust Shock Absorber.