The phrase "President Adams" refers to two important figures in American history: John Adams and John Quincy Adams.
John Adams: He was the 2nd President of the United States, serving from 1797 to 1801. He was born in 1735 and died in 1826. He played a key role in the American Revolution and helped write the Declaration of Independence.
John Quincy Adams: He was the 6th President, serving from 1825 to 1829. He was the son of John Adams, born in 1767 and died in 1848. John Quincy Adams was also a diplomat and played a significant role in American foreign policy.
When you talk about "President Adams," remember that it can mean either John Adams or John Quincy Adams.