However, social media experts were quick to point out that the difference in the number of tweets could be down to the fact that Twitter has more users today than it did in 2013.
Indeed, the social networking service reported around 240 million monthly active users worldwide in 2013, compared with some 300 million today.
- Royal baby: Who will the godparents be?
- Royal baby born: The best of the Twitter reaction
- Prince William ‘very happy’ with new Royal baby daughter
As official confirmation of the birth emerged on Twitter from the Kensington Palace account, well-wishers all over the world were quick to congratulate the duke and duchess.
The hashtag #royalbaby became the number one trend on Twitter, with celebrities, statesmen and ordinary users alike adopting it in their posts.
Meanwhile, Google Trends recorded at least one million searches for the term royal baby – although the true figure is expected to be significantly larger than that.
Related searches such as “Kate Middleton”, “Prince George”, “Duchess of Cambridge”, and “royal baby news” were among the most popular terms searched for.
News of the royal baby was followed in Google rankings by searches for Rio Ferdinand – the footballer who announced on Saturday morning that his wife Rebecca had died after losing her battle with cancer.
Searches for Kensington Palace ranked fourth in Google’s top trending list. The official Twitter account for the palace, which kept the world informed during “The Great Kate Wait”, gained around 100,000 followers in the week leading up to the birth.
On Sunday, it had just shy of 400,000 followers.
Meanwhile, Jonathan Ross, Cheryl Cole and Eamonn Holmes were among the celebrities to tweet their congratulations to the duke and duchess.
Footballer David Beckham took to Facebook to post the message: “Incredible news. I couldn’t be happier for William and Kate. Happy to hear that mother and daughter are fine. It’s not a bad day to be born.”
Beckham, who worked closely with the Duke of Cambridge on England’s bid to host the World Cup, celebrated his 40th birthday on Saturday.
His Facebook post was “liked” by more than 420,000 people and shared nearly 2,000 times.
Before the eagerly anticipated birth, Google reported that almost twice as many people searched for female royal baby terms than male – suggesting the world was expecting or at least hoping for a princess.
The search giant revealed that 45 per cent more people asked whether the duchess was pregnant with a baby girl than those who asked about a boy.
It also recorded a spike in search terms that included the name Diana – such as “Kate baby Diana” and “royal baby Diana”.