The cartouches reveal the identity. Digital Egypt's page tells us more about Pepy II: Pepy II "King of the Sixth Dynasty (2300-2181 BC). Last well-attested king of the Old Kingdom, with an exceptionally long reign estimated variously between sixty and ninety years. A long reign seems confirmed by evidence that the king was a child when he came to the throne: there are images of the king as a child, including a well-known statuette showing him on the lap of his mother (see [http://www.brooklynmuseum.org/opencollection/objects/3446/Statuette_of_Queen_Ankhnes-meryre_II_and_her_Son,_Pepy_II][39.119]). The throne-name Neferkare was used by other kings later in Egyptian history: therefore references to the throne-name alone can only be dated to this reign if there is corroboration (for example, when an object inscribed with the name is of late Old Kingdom type)." (I didn't photograph this statuette, perhaps it was not on exhibit?)