The first woman Governor of a State in free India was Mrs Sarojini Naidu. She was appointed as the Governor of Uttar Pradesh in 1947, just after India gained independence from British rule.

Mrs Sarojini Naidu was a renowned poet, writer, and political activist. She played an active role in the Indian independence movement and was a close associate of Mahatma Gandhi. She was also the first Indian woman to become the President of the Indian National Congress.

Some key points about Mrs Sarojini Naidu:

- She was born on February 13, 1879, in Hyderabad, India.
- She was educated in India and England and was fluent in several languages, including English, Hindi, and Urdu.
- She began her political career as a member of the Indian National Congress and was known for her fiery speeches and poetic verses.
- She played an active role in the Non-Cooperation Movement and the Civil Disobedience Movement.
- She was arrested several times for her political activities and spent many years in prison.
- She was a strong advocate for women's rights and was instrumental in the formation of the All India Women's Conference.
- She was also a well-known poet and writer, and her works include "The Golden Threshold", "The Bird of Time", and "The Broken Wing".
- She passed away on March 2, 1949, at the age of 70.

In conclusion, Mrs Sarojini Naidu was a pioneering figure in Indian politics and literature, and her appointment as the first woman Governor of a State in free India was a historic moment for the country.

Sarojini naiduu