The Peruvian economist Hernando de Soto has analysed the difficulties and the importance of increasing landholding by the poor in the Third - and Fourth - Worlds in his book "The Mystery of Capital". The problem is that the legal regimes in many places make it almost impossible to get good title to a piece of land for a reasonable price. We take this legal structure for granted in the developed countries. In most of the world good title is only available to the elites. Without good title, it is impossible to finance a small business and rise out of poverty, no matter how hard you work. So just granting land to peasants is not enough. There has to be a system of laws that guarantees good title. Systems like Hinduism, Islam, Communism and other totalitarianisms just don't allow this goal to be achieved. However, this book looks like it could provide useful information to help find a solution.
About the claim that Queen Elizabeth owns one sixth of the world - that sounds like an extreme exaggeration of her Majesty's actual power or control over places like Canada and Australia which are in fact if not in legal theory independent countries. I'll have to read the book to find out what the context of that statement is!