Hi there, @bournerj! Unfortunately there is not any troubleshooting that can be done with a battery, other than charging it. Please ensure it is being charged with the included micro usb cable, and try different outlets, ports, or charging boxes.
If after several hours of charging the battery does not power up your Ring device and display and improved charge percentage, please give our support team a call at one of the numbers available here. If you are outside of the US, please visit here to see how to contact support.