The first stepper is the Adafruit Nema 17, 12v 350ma motor. The second stepper is a Nema 23, 3v 2A per phase motor.
The Adafruit "All About Stepper Motors" FAQ mentions:
My question: is it possible to run both these motors off my motor shield? What power supply would I need?Will this power supply work with my motor?
First make sure it does not exceed the voltage rating for the motor or the controller.* You can usually run a motor at a lower voltage, although you will get less torque.
Next, check the current rating. Most stepping modes energize two phases at a time, so the current rating should be at least twice the current per phase for your motor.
* This applies to constant voltage drivers. For chopper drive controllers, check the instructions for your controller.