Hi Theresa, I've never seen anything like those bindings before!
It's possible they are compatible with the "old style" SNS boot with the bar that sticks out the front (photo attached)? It's not clear from the picture how the binding mechanism opens and closes, but the plastic space between the boot and the mechanism is odd.
Do you have the matching boots? A photo of the bottom of the boots may be helpful. I've attached some of the common boot systems.
If you don't have the boots, you'd probably be better off getting the bindings changed to a modern nordic system like NNN or SNS Profil as you'll probably have a heck of a time finding any gear to go with it.