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I'm afraid it is not proof that the legal ownership has passed to your Daughter. To enable the gift to be legal, you would either have to sign a Will, leaving the property to your Daughter or if you wanted to transfer the legal ownership now, you would need to sign a Land Registry Transfer document in front of a non family member, and then register the same at the Land Registry.
I hope this assists and answers your question.
Ok, I understand what you say but the letter prove that was my intention to give my daughter the house on that date even though it was transfered at a later date ?