Ranges were developed in the 19th century, combining in one shell an open fire and ovens on each side. They were cased in cast-iron and could be easily installed.
The image you found is of the AGA cooker, which was a development of the range, in that it enclosed the fire, allowing for better control and also a varying range of heats in the four ovens. This being a four-door AGA, the ovens are [left side] top = cool oven; bottom = warm oven and [right side] top = roasting oven (very hot); bottom = simmering oven. The top of the cooker has a cool plate on the left, hot ring in the centre, and simmering ring on the right. There are no burners on an AGA since it ran on solid fuel, though they now run on gas, oil or electricity as well.
There are modern variants of this which are run on gas or electricity, and can have 5 burners on the top as well as 4 ovens. The extract is more likely to be referring to one of these: http://www.comparestoreprices.co.uk/...nge-cooker.jpg
Usually those who cook on an Aga or its rival, Rayburn, will call it by name.