Abigail Smith Adams. As the wife of John Adams, Abigail Adams was the first woman to serve as Second Lady of United States and the second woman to serve as First Lady. She was also the mother of the sixth President, John Quincy Adams.A political influencer, she is remembered for the many letters of advice she exchanged with her husband during the Continental Congresses. Inheriting New England's strongest traditions, Abigail Smith was born in 1744 at Weymouth, Massachusetts.he was also the mother of the sixth President, John Quincy Adams. A political influencer, she is remembered for the many letters of advice she exchanged with her husband during the Continental Congresses. Inheriting New England's strongest traditions, Abigail Smith was born in 1744 at Weymouth, Massachusetts.