The Duke and Duchess of Cambridge and their son flew to Scotland yesterday for a private holiday and to spend time with the Queen and Philip, who are staying at Balmoral.
Baby George is eight weeks old and was described last Thursday by proud father William as having “a voice to match any lion’s roar”.
The Queen first saw her great-grandson a few days after he was born on July 22 when she visited the Duke and Duchess at Kensington Palace.
Prince Harry has made a number of trips to see his nephew and described how he saw the baby smile, while the Prince of Wales, with the Duchess of Cornwall, visited his grandson when Kate was still in hospital.
But it is thought Philip, who has been convalescing after exploratory abdominal surgery in June, has not been able to meet the newest member of his family.
There is speculation that while the Cambridges are in Scotland a picture may be taken showing the Queen with three future monarchs - Charles, William and baby George.
Kate and George spent much of the summer with proud grandparents Carole and Michael Middleton.
The Cambridges had their first night away from their son last week when they attended an awards ceremony.
Taking care of the baby prince was William’s former nanny Jessie Webb, 71, who is looking after the infant as and when the couple need her and is not working for them full-time.
Kensington Palace declined to comment.