The correct answer is option 4, Thomas Paine. Thomas Paine was an English-born political activist, writer, and philosopher who is best known for his influential writings during the American Revolution era. `The Rights of Man` is one of his most significant works, published in 1791-1792.

Option 1, Thomas Hardy, is incorrect. Thomas Hardy was an English novelist and poet known for his novels such as `Tess of the d`Urbervilles` and `Far from the Madding Crowd,` but he is not associated with `The Rights of Man.`

Option 2, Thomas Mann, is also incorrect. Thomas Mann was a German novelist, known for works such as `Buddenbrooks` and `The Magic Mountain.` He has no connection to `The Rights of Man.`

Option 3, Thomas Moore, is again incorrect. Thomas Moore was an Irish poet, singer, and songwriter. While he was a prominent figure in Irish literature, he did not author `The Rights of Man.`

In conclusion, the correct answer is option 4, Thomas Paine, who wrote `The Rights of Man.`