Instead, they are likely to follow in the footsteps of the Queen with hopes for a home birth, expected to be at their new home in Windsor. Read the latest updates from the London Marathon herePrince Harry has made a surprise visit to the London Marathon today, which suggests Meghan Markle is not yet due to give birth.The Duke of Sussex was seen laughing and joking as he presented medals to early Marathon finishers. The Prince also spent time talking to volunteers.He also presented medals to the marathon and wheelchair winners, including victors in the World Para Athletics World Championship Marathon.It is believed he always planned to go, but did not publicly commit to the event as it was so close to his wife’s due date.He has previously attended the event for the mental health charity Heads Together, along with the Duke and Duchess of Cambridge. Kenya’s Brigid Kosgei celebrates winning the women’s elite race with the trophy as she poses with Britain’s Prince Harry Credit: REUTERS/Paul Childs The royal baby is due soon, however, as earlier this year nine-month pregnant Meghan let slip that she is due at the end of April or early May during an engagement in Birkenhead.The couple is keeping plans for the birth private, and have said they will be “celebrating privately as a new family” after the birth as a first priority. While photographs of the baby will be taken in the following days, the family of three will not greet members of the public in the same way as the Cambridges and other members of the Royal Family have done. The palace are expected to issue a short written announcement confirming the Duchess is in labour, with a second to follow upon the safe arrival of the baby, giving details of its sex, weight and time of birth. It is understood that photographs of the baby, taken in Windsor, will be issued later, when he or she is a few days old.The couple are also likely to utilise their Sussex Royal Instagram page to share news and images of their choice. Want the best of The Telegraph direct to your email and WhatsApp? Sign up to our free twice-daily Front Page newsletter and new audio briefings.