Arrange the following writers chronologically in accordance with their years of birth:
A) James Boswell
B) Edward Gibbon
C) Samuel Johnson
D) Edmund Burke
E) Richard Brinsley Sheridan
Choose the correct answer from the following options:

The correct answer is Option 1: C, D, B, A, E.

To arrange these writers chronologically in accordance with their years of birth, let us look at their birth years:

1. Samuel Johnson (C): Born on September 18, 1709.
He was an English writer who made lasting contributions to English literature as a poet, playwright, essayist, moralist, literary critic, biographer, editor, and lexicographer.

2. Edmund Burke (D): Born on January 12, 1729.
He was an Anglo-Irish statesman, economist, and philosopher who served as a member of parliament (MP) in the House of Commons of Great Britain.

3. Edward Gibbon (B): Born on May 8, 1737.
He was an English historian, writer, and member of parliament, best known as the author of The History of the Decline and Fall of the Roman Empire.

4. James Boswell (A): Born on October 29, 1740.
He was a Scottish biographer, diarist, and lawyer, best known for his biography of his friend and older contemporary Samuel Johnson.

5. Richard Brinsley Sheridan (E): Born on October 30, 1751.
He was an Irish satirist, playwright, poet, and long-term owner of the London Theatre Royal, Drury Lane.

Arranging the birth years in ascending chronological order:
1709 (Samuel Johnson) → 1729 (Edmund Burke) → 1737 (Edward Gibbon) → 1740 (James Boswell) → 1751 (Richard Brinsley Sheridan)

This corresponds to the sequence: C, D, B, A, E.