William jokingly hints at Royal baby's name: Prince Alexander of Cambridge?

The Duke of Cambridge has fuelled speculation about the name of his new baby boy, telling a man who suggested he could suit Prince Alexander: "Funny you should say that..."

The Duke, who left his two-day-old son with the Duchess to attend a commemoration service, teased attendees about the as-yet-unknown name, as the world waited to hear what the Prince would be called. 

Told by Alexander Downer, the Australian High Commissioner, that he favoured his own Christian name as a frontrunner for the Prince, the Duke replied: "Funny you should say that... It's a good name."

The Dean of Westminster, introducing the Duke to Mr Downer's New Zealand counterpart Sir Jerry Mateparae, joked: "And Jerry would like it to be Jerry". 

"It's a strong name, I have to say," the Duke conceded smiling, speaking publicly for the first time since he took his new addition home from hospital.

The Duke joined his brother Prince Harry and soon-to-be sister-in-law Meghan Markle at Westminster Abbey for an Anzac Day service, but the topic of conversation quickly turned to the new Prince.

Asked how the Duchess and the baby were doing, Prince William said: "They're very well thanks."

The now father-of-three said they are "in good form, luckily", and added: "Sleeping's going reasonably well so far, so he's behaving himself which is good news."

While the Duke's words stoked further speculation about the possibility of a Prince Alexander, the name is not likely to be a final contender as it is one of Prince George's middle names. 

The service is the culmination of a day of events honouring Australia and New Zealand's fallen, and those who have served in subsequent conflicts, which began with a dawn service and wreath laying.

The Duchess of Cambridge gave birth to a son at 11.01am on Monday morning weighing 8lbs 7oz, inside the £5,900-a-stay The Lindo Wing at St Mary's Hospital in London.

Flags then flew, guns were ceremonially fired and church bells at some of the country's most iconic buildings rang to greet the new arrival. 

The Duchess of Cambridge took her new Prince home to Kensington Palace Monday evening  and the world is still holding its breath on the name of the fifth-in-line to the throne.