Her mum Rachelle Gibbons said: "Sethunya is very excited to be Meghan's mini me".
The Duke and Duchess will learn about environmental challenges while in Wellington, visit a charity which supports children with parents in prison, and meet members of the public in Auckland and Rotura.
Since the news about Meghan expecting a baby broke on Kensington Palace's social media pages, the spotlight has been shone on the Duke and Duchess of Sussex even more brightly, with the two receiving their first baby presents on their Australian royal tour, reports Hello! magazine.
"Here's your first gift for the nursery", the governor-general told the couple during a welcome ceremony at his official residence, Admiralty House.
The Duke also opened the Taronga Institute of Science and Learning before the couple took a boat ride across the harbour to the Opera House. Daphne has been dubbed Harry's "favorite Aussie".
Prince Harry & Meghan Markle Arrive in Sydney for Royal Tour!
The 16-day royal trip will be packed with 76 engagements, with the Invictus Games Sydney 2018 taking centre stage. Harry and Meghan were flown back two days later but the Kensington Palace refused to comment about the incident.
Beaming at Meghan, he quipped, "We also, genuinely, couldn't think of a better place to announce, uh, the upcoming baby, be it a boy or girl, so thank you very much".
Meghan said the koalas were "so, so sweet", while Harry reached to pet one of the animals and asked about their diet and sleeping habits.
Among the excited fans is Dubbo mayor Ben Shields, who will host the Picnic in the Park for Prince Harry and his pregnant wife Meghan at Victoria Park on October 17. She explained that her first husband Albert Chowne had been given the highest award in the British honors system after he died in Papua New Guinea in 1945.
Dunne later said Meghan told her "she had heard all about me; she's so attractive". "Harry has told me all about you and your special bond, it's so lovely you came to see us, thank you".
In a statement, they said that the rest of the royal family were happy to hear the good news.