Trying to rotate wooden wheel(in garden feature) without the use of electricity. Can a small battery motor be attached to this feature in some way to make the wheel turn.
Perhaps you mean without using the mains electricity, but a battery powered motor. Electric motors have a tendency to 'eat' batteries so the wooden wheel won't turn for long. Is it not feasible to run a low voltage DC wire to the wheel from the house? If this is one of those waterwheels, do they not have a small waterpump in them that pumps the water up to fall on the wheel and make it turn?
Any toy that moves has to have some sort of power source. If it is wind-up, you turn a key that winds a spring up. providing the energy source. Recent years has seen this applied to gadgets like torches and radios that now can be wind-up types.
The only other alternative is battery power, or mains power (sometimes) if the device doesn't move so can have wires running to it.
Or else it is like the above answer - where something like water is used to power the wheel.
Try looking for a step down motor that turns at say 4 RPM, have a look on the tinternet for a make called Crouzet they are quite powerful and mostly only 12 volt so you could get a solar panel to run it....