A traditional name would not be a surprise for the newest member of the royal family, but with Harry and Meghan representing the modern arm of the monarchy, there might be a more contemporary choice on the cards.
They may decide to surprise everyone when naming their first child.
In the United States, the most popular name for a baby girl and baby boy in 2017 was Emma and Liam.
In the United Kingdom, the most popular name for a girl born in 2017 was Olivia, and for a boy Oliver.
Meghan's stylist and best friend Jessica Mulroney will also play an important part in the baby's life.
Other bridesmaids included Rylan and Remi Litt - the daughters of Meghan's close friend Benita Litt, and Harry's goddaughter - the youngest bridesmaid - Zalie Warren.
The announcement came hours after Harry and the former Meghan Markle arrived in Sydney at the start of a 16-day visit to Australia, Fiji, Tonga and New Zealand.
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Britain's Prince Harry, the Duke of Sussex, and his wife Meghan, the Duchess of Sussex, meet an echidna held by Dr Michelle Shaw, left, during a visit to Taronga Zoo in Sydney, Australia, Tuesday, Oct. 16, 2018. All of the upcoming baby's first cousins - Prince George, Princess Charlotte, and Prince Louis - were born at St. Mary's Hospital in London.
One option - considered a favourite for a girl - is Diana in honour of Harry's late beloved mother.
Harry, who adored Diana, was just 12 when the princess was killed suddenly in a vehicle crash in Paris in 1997.
The name Charles would honour Harry's father and Elizabeth would pay tribute to the Queen.
Charlotte - described by Kate as being feisty - is known for her confidence in front of the cameras, while future king George - who loves all things to do with helicopters and the police - is more shy in public.
She supported Meghan in the hard days leading up to the wedding amid the turmoil caused by the absence of her father Thomas Markle.
Meghan, who is the first mixed-race person in modern history to marry a senior British royal, has written about the significance of choosing names within her own family.