At first she tried to ignore the revelations. But after three of her advertising deals - with Burberry, Chanel and H&M - were cancelled, she apologised and said she would seek help.
She is not believed to have seen her daughter, who has been looked after by a nanny and her grandparents, since before the scandal.
Miss Moss is said to have spoken to Lila Grace yesterday after begging bosses at the clinic to let her wish her a happy birthday.
The little girl, who was pictured looking happy in her nanny's arms, spent most of yesterday being showered with gifts at Miss Moss's home in St John's Wood, North-West London, where she has been staying.
She then went on to a party at Topsy Turvy near Brent Cross where she was joined by the other children.
Miss Moss is expected to spend at least 30 days at the £4,000-a-week clinic. When she returns to England she is expected be investigated by police and social services about her drug use.
Miss Taylor, 27, is known as the 'Loo Roll Princess' because her father made his £180million fortune selling toilet paper. Until now, she has been one of the lesser known members of the group of friends dubbed the 'Moss Posse'.
Last night, her husband vowed to stand by her. He released a statement which read: 'Contrary to recent newspaper reports (Miss Taylor) and her husband David Gardner have not separated and he is offering her his unconditional support.'
