As best I can tell - the pictures on the table between HM and Prince Edward of this Rayner study of HM's father George VI
To the right is a picture of (I think) Princess Anne looking out the window from Y Bwthyn Bach (the Welsh Cottage) at Windsor. If not Princess Anne then it is Princess Elizabeth - hard to tell as they look so much a like when young. I know I have seen the picture but cannot yet track it down.
To the left (again I think) is picture of Prince William on a blanket at Balmoral. Not this exact picture but from the same series.