Princess Anne's son Peter and his wife Autumn had their first child last Wednesday and her name was not announced.
But prayers in Sandringham church this morning included a special mention by the Rev Jonathan Riviere for 'Peter and Autumn Phillips and their daughter Savannah,' the first time the name has been used in public.
New grandmother Princess Anne was among the Royal party and told one fan that she will not be spoiling her new granddaugher.
It is the first time the Princess Royal has been seen in public since the arrival of Savannah, who is 12th in line to the throne and was born at Gloucestershire Royal Hospital.
'I congratulated her on the baby and said that I thought she would be spoilt,' said Royal watcher Mary Relph, of Shouldham, 'but Princess Anne said that the baby wouldn't be spoilt by her,' she added.
The Queen, a great-grandmother for the first time, was joined in the short drive to church by the Countess of Wessex while Prince Philip, Princess Anne's husband Vice-Admiral Timothy Laurence and Prince Edward walked from Sandringham House.
The Queen wore a salmon-pink checked coat and matching hat with feathers, there was no sign of the fur hat which caused criticism on Christmas day. The Countess of Wessex wore a black and red floral skirt and black jacket while the Princess Royal was in a petrol-blue coat.
Around 500 people greeted the Royal family and the number swelled to around 700 outside the church by the end of the traditional service where the preacher was the Bishop of Norwich, the Rt Rev Graham James.
Among those who patiently waited was 92-year-old Nancy Taylor, of Hunstanton, who waited with her daughter Sue and has been coming to the church to see the Queen for around 50 years.
'We come every year and the Queen looked very nice today,' she said.
It was an exciting event for a Norwich family who made the journey for the first time and were delighted to see the Queen.
Suranne Stocks, 6, her brothers Devon, 9. and Byron, 18 months, all had flowers to present and the two elder children joined a long line of youngsters who gave blooms to the Queen.
'It is a really nice occasion,' said their mum Zoe.
But the cold wait was a regular occurance for Alan and Daphne Tuckwood, of March, who have travelled from their home for a couple of years to see the Royals.
'We come once a year and have seen the Queen before, but it is nice to be here,' said Mr Tuckwood.
It was a return to the estate for Phil Chester who was apprenticed as a gamekeeper at Sandringham.
Now living in Sleaford, Lincolnshire, Mr Chester said it was the first time he had attended for the church service.
'It's nice to be back,' he said.
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