Yeah what BUSAONCRACK said. The second battery will not drain the original and it will not "get" charged as the motor is running.
The battery I use is from Auto Zone. Look in the motorcycle battery section and find the smallest 12V battery you can find (open the box to see actual size). The one I use is about 5" long, 3.5" tall and 2.5" wide. Make sure you mount so you can access with a charger or run a plug to it...