Two days after welcoming their son, Prince Harry and Meghan, Duchess of Sussex, appeared at Windsor Castle on Wednesday to introduce the newborn for the cameras. A few hours later, Buckingham Palace announced his name: Archie Harrison Mountbatten-Windsor.

"It's magic. It's pretty amazing!" said Meghan, who wore a cream-colored sleeveless trench coat-style dress by Grace Wales Bonner and high heels to show off Archie, who was swaddled in a traditional merino wool ivory shawl from royal favorite, G.H. Hurt & Son, to a website that tracks Meghan's fashion choices. "I have the two best guys in the world, so I'm really happy."

Harry, who put a new spin on royal baby debuts by being the one to hold the newborn during the photo opp in St. George's Hall, proclaimed, “Parenting is amazing. It’s only been – what, two-and-a-half days, three days – but we’re just so thrilled to have our own little bundle of joy. We have to spend some precious time with him as he slowly starts to grow up.”

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Wednesday afternoon, the couple shared a photo of little Archie meeting his maternal grandmother, Doria Ragland, and his paternal great-grandparents, Queen Elizabeth II and Prince Philip, on their official Instagram account, @SussexRoyal.

Ragland, whom many royal fans saw for the first time during Harry and Meghan's wedding in May 2018, lives in Los Angeles but came over to the United Kingdom for the birth. She's been staying with her daughter and son-in-law at Frogmore Cottage, their new home on the Windsor Castle grounds.

When asked about meeting the queen and her husband, Prince Philip, Meghan said, “We just bumped into the duke as we were walking by, which is so nice. It will be a nice moment to introduce the baby to more family, and my mom’s with us as well.”

“Another great-grandchild,” Harry joked. The baby, who is seventh in line to the throne, is the eighth great-grandchild for the queen, 93, and her 97-year-old husband, who is mostly retired from public life.

Archie's surname, Mountbatten-Windsor, is a tribute to Philip, who, upon becoming a father, famously expressed frustration over the fact that he was "the only man in the country not allowed to give his name to his children."

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The highest-ranking royals usually don't bother with last names at all or go by their father's title. As the sons of the prince of Wales, Harry and William used the surname "Wales" in school and in the military. Prince George is known by William's title, Cambridge, at school.

The palace did not say so unequivocally, but it seems likely the baby will not receive a "royal highness" or other courtesy title from the queen, who decides these matters based on personal preference of the parents and rules laid down in 1917 by her grandfather, King George V.

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Harry and Meghan promised in April that they would pose for photos within a few days of the baby's arrival, but first, they wanted "an opportunity to celebrate privately as a new family."

In the end, Harry didn't quite stick to the script. Overcome with joy, he appeared before media cameras at Windsor Castle Monday to announce the birth as horses looked on from the royal stables behind him.

Harry gushed that the birth experience was "amazing" and that he was "over the moon."

Before departing from the grand hallway, Meghan conveyed her gratitude. "Thank you, everybody, for the well-wishes and the kindness. It just means so much.”

The baby’s birth May 6 means he will share close birthdays with two of his cousins: Princess Charlotte of Cambridge – the daughter of Prince William and Kate, the Duchess of Cambridge – who turned 4 on May 2, and Prince Louis, the youngest little Cambridge, who turned 1 on April 23.

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The next big event in the little royal's life is likely to be his christening, which usually takes place two months after the birth and marks his official naming and his entry into the Church of England. The question is, where will it take place?

Prince George and Prince Louis were christened in the historic Chapel Royal at St. James's Palace in London, close to Buckingham Palace and to Clarence House, the home of their grandfather, Prince Charles.

Princess Charlotte was christened in July 2015 at St. Mary Magdalene Church at Sandringham, the royal estate in Norfolk.

But St. George's Chapel, on the grounds of the couple's new base at Windsor Castle, seems a likely candidate for Archie's christening. After all, that's where Harry and Meghan got married, it's where Harry himself was christened in December 1984.