Cooker seems an obvious name for something that cooks. Range or stove seem less obvious and require some explanation (as above). But in the UK we might equally well call the item a cooker, stove or oven (range? I doubt that) and possibly preface that with gas or electric as appropriate; but certainly we would understand all the terms discussed here. Of course, things change and these days the oven and the hob are frequently separated with the addition of a separate microwave oven. Which is fine except that with that arrangement there no longer seems to be a good way of warming plates.

My grandmother learned to cook in Canada before WW1 and she often used 'range' and felt more at home with an Aga type of cooker rather than with gas or electricity. What she produced when she put her mind to it was very edible.