Concept:
"The Birth of New India" is a significant political and social work that reflects the ideas of Indian self-governance and reform during the colonial period.
Step 1: Understand the book.
The book discusses India's progress and the need for self-rule and national awakening.
Step 2: Identify the author.
It was written by Annie Besant, a prominent social reformer, educationist, and leader of the Indian independence movement.
Step 3: Evaluate the options.
- Mahatma Gandhi $\rightarrow$ Known for works like "Hind Swaraj" (incorrect)
- Jawaharlal Nehru $\rightarrow$ Wrote "Discovery of India" (incorrect)
- Annie Besant $\rightarrow$ Author of "The Birth of New India" (correct)
- Bal Gangadhar Tilak $\rightarrow$ Known for "Gita Rahasya" (incorrect)
Step 4: Conclusion.
Thus, the correct answer is Annie Besant.