When His Royal Highness Prince George Alexander Louis of Cambridge arrived in July, his parents, Prince William and Kate, won praise for handling his birth in a very down-to-earth, seemingly non-royal way.

Now, nearly one month after the birth of their first son, Prince George, we know that the Duke and Duchess of Cambridge, as William and Kate are officially known, really are just like any other new parents. They are not getting any sleep.

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"He told me that he hopes he (George) will sleep through the night soon," said Joan Roberts, of Carmel, North Wales, a visitor who spoke to Prince William today at the Anglesey Show, where William marked his first official royal engagement since becoming a dad.

"Catherine is sorry that she cannot be here today at the County Show," he said of his wife, 31. "But she and George would have loved to have been here. He's pretty loud but of course very good looking!"

William, also 31, appeared at the show, described as the equivalent of a county fair in the U.S., in part to thank the people of Anglesey who have welcomed him and Kate for the past three years as they relocated to the small island for William's role as a search and rescue pilot with Britain's Royal Air Force (RAF).

During his speech, William also gave a hint at what life has been like for the young royals since he and Kate welcomed their first child.

"I have to say that I thought Search and Rescue duties over Snowdonia were physically and mentally demanding, but looking after a three week-old baby is up there!" he joked.

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William has not yet announced what he will do next. Prince William could be stationed at another military base elsewhere in the U.K., or he could choose to focus more on his royal duties as second in line to the throne.

Prince William, Kate Register George's Birth

Prince William and Kate will eventually raise their bundle of joy in apartment 1A of Kensington Palace, the same palace where William grew up.

"I know that I speak for Catherine when I say that I have never in my life known somewhere as beautiful and as welcoming as Anglesey," William said. "The views across the Menai Straits are undoubtedly among the most stunning in the British Isles. I know that both of us will miss it terribly when my Search and Rescue tour of duty comes to an end next month and we have to move elsewhere."

William was given a touching reminder of the impact he has made during his time with the RAF by another visitor to the Anglesey Show who just happened to be the 16-year-old girl he rescued off the coast of Silver Bay in Anglesey last August.

In a meeting arranged by the UK's Channel 5 News, the girl, Sharon West, told him, "I just wanted to thank you for rescuing me last year."

"Was it you on the beach, you and your sister? How are you, are you all right?," Prince William replied, later giving credit to his RAF co-pilots, saying, "It's a team thing."

Prince William's solo appearance at Anglesey marked the second time the prince has been seen since Prince George was born July 22. Kate, on the other hand, has not been seen since she and William left St. Mary's Hospital on July 23 and then left for her parent's home in Bucklebury not long after.

Appearing at a charity polo match in Ascot earlier this month, William said he was "in baby mode out there, thinking about nappies. I wasn't really in the zone." When asked more about George, he said the little prince, "likes to move around a lot. He wriggles a lot. He keeps on our toes."