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Williams has said that he would prefer his child to grow up in the UK instead of Los Angeles, where the couple currently live.
He described children educated in LA schools as having "a massive sense of entitlement" and that they were "dull and dumb".
Williams and his wife, Ayda Field, a Turkish American actress, have been in a relationship for five years.
It is the first child for the couple who married two years ago.
Robbie Williams and wife Ayda Field have announced the safe arrival of their daughter Theodora Rose WIlliams.
Williams and his US actress wife recently announced that they had chosen a traditional name for their daughter, adding there was going to be "No mad celebrity baby name"
Stoke's Robbie Williams has announced the birth of his baby daughter, Theodora Rose Williams, or Teddy. She was born yesterday afternoon, weighing 7lbs 4oz.
Writing on his blog the Take That star said "Praise be, it's Theodora Rose Williams, affectionately known as Teddy..... Born 3.33pm on 18.9.12, 7Ibs 4OZ."Baby, Mummy and Daddy are all rockin.... Thank you for your best wishes XXXX."
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Robbie Williams announces the birth of his daughter Theodora Rose Williams