1. Consult a repair manual: A repair manual specific to your 2005 Lincoln LS V6 (Haynes, Chilton, or a factory service manual) will have diagrams clearly showing the location and numbering (if any) of the ignition coils. This is the most reliable method.
2. Use a wiring diagram: A wiring diagram for your vehicle will show how the coils are connected to the spark plugs and the engine's firing order. This lets you trace the wires to determine coil position relative to the engine cylinders.
3. Visually inspect the engine: The coils are typically located on top of the engine, near the spark plugs. You might be able to visually trace the wires from the coils to the spark plugs to determine their position. However, be cautious when working around the engine compartment.
Without a visual reference or a wiring diagram specific to your vehicle, providing precise "position numbers" is impossible. Remember to always disconnect the negative battery terminal before working on any electrical components in your vehicle.