And a daughter named Charlotte, New Zealand's Newshub reports.
Others still believe Archie was chosen as a way to honor Harry's late mother, Princess Diana, as she reportedly had a Scottish ancestor who shared the name: Archibald Campbell, 9th Earl of Argyll.
The royals' joint announcement of the plan combats rumours that they have been feuding recently.
Archie Harrison Mountbatten-Windsor was born on Monday.
"It was just a fluke", the mother told the local paper. Meghan loved playing with him and she was always talking about him to her friends.
Asked who the baby takes after, Meghan said: "We're still trying to figure that out". As for his surname, Mountbatten-Windsor, the name is given to descendants of the Queen and Prince Philip, to distinguish them from the rest of the royal family.
The royal baby, claim friends of the Duchess of Sussex, was named after Meghan's pet cat and a vintage United States comic book she used to collect with her dad.
A spokesperson for the Duke and Duchess of Cambridge is also said to have revealed that Wills and Kate have scheduled a date to call in on their first nephew by Harry and Meghan at Frogmore Cottage in Windsor.
During their visit to Auckland last October, the Duke and Duchess greeted a crowd at the viaduct.
And Dennis says that being a new dad clearly isn't slowing the Duke down. "Harry talked about how having a small child was his new focus and new goal and I told him how a couple of months ago, I was struggling with my mental health but my wife's pregnancy has given me a goal".
The only downside to finally getting a glimpse of Meghan Markle and Prince Harry's newborn baby is that for now, things will probably be relatively quiet on the Archie front.
"He said "Archie, I like that name", Archie Somerville-Ryan told Newshub.
Therefore it is likely that Archie Harrison's name will change to His Royal Highness, Prince Archie in years to come.