The toy of John Doe's and the nose of Piru's are called the double genitive and are quite common. One reason that it is used is because we normally use the Anglo-Saxon genitive (-'s) and not the 'of'-genitive with people and anthropomorphized possessors. Another reason is that the 'of'-genitive alone can be confusing: does 'the toy of John Doe' refer to a toy that John owns or does it refer to a toy made in John's image?
New words, one handy idiom, and a 2-minute quiz — delivered to your inbox to keep your streak alive.