Hi,
Ultimately, to use the motor "properly", you may need to modify the circuit board so that the lower "4.5 volt" rail (in the circuit diagram on page 34) has a higher voltage. But that might not be easy (and is potentially "dangerous" for the PICaxe) unless the circuit board has been designed with that in mind (I don't have that board or a diagram to check). The manual says
"Most stepper motors are designed to work at 12V, but will generally work (with reduced torque) at 6V", but 4.5 v is less than 6.
So, for now, it will be better to find why it's not really moving at all.
But we must have more information. What battery are you using, is it 3 x AA
fresh alkalines, or 3 x AA NiMH, or what? Also what test gear do you have? If nothing, then we may be able to manage with the LEDs on the board. One method might be make the program run very slowly, but as you haven't posted any program code we can't tell you how to do that.
Cheers, Alan.