Explanation
Why Correct: Annie Besant founded the All India Home Rule League in September 1916 at Madras, launching a nationwide movement for self-government within the British Empire.
Distractor Analysis: Motilal Nehru was a prominent lawyer and Congress leader who served as its president but did not establish the Home Rule League. B.R. Ambedkar chaired the Drafting Committee of the Indian Constitution and championed Dalit rights decades later. Sarojini Naidu, known as the Nightingale of India, was a poet and freedom fighter who became the first woman governor of an Indian state.
Takeaway: Bal Gangadhar Tilak simultaneously established a separate Home Rule League in April 1916 based in Poona, creating two parallel movements that merged their efforts.