Concept:
Tamil Nadu has had important women leaders in politics. The first woman to become Chief Minister of Tamil Nadu was V. N. Janaki Ramachandran.
• She became CM in 1988.
• She was the wife of M.G. Ramachandran (MGR).
• Her tenure was very short.
Step 1: Understand the historical context.
After the death of M.G. Ramachandran:
\[
1987
\]
there was political instability in Tamil Nadu.
Step 2: Identify the first woman CM.
In 1988:
V. N. Janaki Ramachandran became Chief Minister
making her the first lady CM of Tamil Nadu.
Step 3: Differentiate from Jayalalithaa.
Although Jayalalithaa became a powerful leader later:
\[
1991
\]
she was not the first woman Chief Minister.
Step 4: Final conclusion.
Hence, the correct answer is:
\[
\boxed{\text{Mrs. V. N. Janaki Ramachandran}}
\]