No, you DON'T need to remove the wheels or dismantle the gearbox (sorry JonD!) - the loco will come apart without disturbing the gearbox mechanism!
I have one in a dismantled state, I'll nip out to the workshop and have a look at it, see if I can tell you exactly which screws to remove.... more later.....
Jon.
OK, just brought mine in to examine.....
From footplate level downward, you have THREE major parts - the gearbox/motor block, which is a standard LGB 4 or 6 wheel unit depending on the particular loco (mine is the 6-wheel German industrial version); the chassis/frame, into which the motor block slides; and finally the actual footplate, which until you unscrew it can LOOK like it is one part with the frame, but it's not.
In your picture of the underside of your loco, which I think has the cab to the left of the pic, there are FIVE screws in a line along the centre of the gearbox bottom plate. From the left (the cab end), you need to remove the FIRST and FOURTH of these screws - do not touch the second, third and fifth (front-most) ones, as these are the ones that hold the gearbox together and keep the wheels in alignment!
Once you've taken out the first and fourth screws, with a little application of pressure the whole gearbox should slide downward and out of the loco - it will only be attached by the wiring loom plugged onto the terminals on top of the motor block.
You'll now be able to see the four screws that hold the bonnet (motor hood for those across the pond!), which you can remove - you may need to ease some of the handrails out of their holes as you do this. The cab is also held by four screws, two of which also hold the rear steps on. If you also remove the front steps and the bell from just behind one step, you should then be able to separate the frame from the footplate.
This loco is a particularly good candidate for R/C and battery, as it has practically all the space under the bonnet spare - the traction weights are two blocks behind the buffer-beams, you will see them when the frame and footplate are separated.
Hope this helps!
Jon.