Kipling was paying tribute to the Vicereine who established the Fund associated with her name. This was an organisation which employed medical women (or 'lady doctors') to run a chain of hospitals and dispensaries all over India and Burma.
The traditional theory of demographic transition developed by Professor F.W. Notestein and his colleagues has occupied the center stage in the demographic literature for quite a long time. This theory was developed on the basis of the demographic experience of the developed world.