Trivia: Just before the "Little Girls" number, there is a voice on Miss Hannigan's radio saying "I love you, I love you, I love you". This voice is provided by the film's director, John Huston.
Trivia: During the sequence early on in the mansion, all of the characters are dancing and singing. The maids dancing in the background around the dining room table, one of them accidentally knocks over 2 or 3 water goblets and hastily rights them again.
Answer: Most likely Mr Warbucks had some sway in the outcome of things. Because Mrs Hannigan in the end did try to save her life, and was also assaulted by her own brother when she turned on him, Annie and Mr Warbucks statement probably got the police to let her go. Also it would seem that Punjab liked her. She came around to the right side in the end.