Welcome to the PF, Dusty.
Others will be able to help you figure out the best motor/generator to use in your project, but I'd like to mention that you will likely need a power converter circuit (DC-DC Converter) between the DC generator and the 12V battery that you want to charge.
Consider a simple brushed DC motor connected to your wind turbine. At high wind speeds, you may get 12V out of the generator, but at lower speeds, you will get a lower voltage. The way you handle this is to put a voltage converter circuit between the generator's DC output and the 12V battery. In a simple implementation, it would be a Sepic DC-DC converter that can convert the varying input voltage to the 12V output. In a slight improvement, it should output a higher voltage to actually charge the 12V battery (depending on the battery chemistry), and it should include the usual battery charger characteristics (varying output voltage from full power charging to low power trickle charge).
In further improvements (what is the scope of your project?), you would be able to supply out[put power as well as charging the backup battery, and be able to switch the output power to the battery backup when the wind speed fell too low to generate useful power. And so on.
Does that make sense? Do you have experience with power converters and DC-DC voltage converters? What is your background in electronics? Fun project, BTW.