Queen Elizabeth, as well as Kate Middleton, share several of the same characteristics They both believe in discretion loyalty, loyalty,

and duty however, their distinct personalities were evident during one of Queen Elizabeth's visits to Anmer Hall.

I remember when they'd just completed renovating Anmer Hall, and they invited the Queen to eat lunch." Sally Bedell Smith, 

the author of Elizabeth the Queen the Story of a Modern Monarch is quoted by PEOPLE during this week's front page story.

They are equipped with one of the big kitchens with eating areas and she said: 'I don't comprehend why everyone spends all working in their kitchens.'"

Kate, as well as William, will have many more chances to invite the Queen for lunch since the royal couple plans the relocation from London to Windsor and their three children 

-Prince George, 9, Princess Charlotte, 7, and Prince Louis, 4 Prince George nine, Prince Charlotte, 7, and Princess George Charlotte 7, as well as Prince Louis 4, -- will be enrolled in a new school.

The group "are representing the Queen impeccably," Bedell Smith says to PEOPLE. "They're showing a kind of dedication she would be proud of. And that probably gives her hope."