LOTS of US presidents have had sons. Perhaps you mean, which president had a son who also became president? The answer to that is George H.W. Bush, whose son is George W. Bush.
President Obama doesn't have a son.
Sorry! There is no person that was the son of a president and the father of a president.
There is no special name for the president's son -- he is not called a prince nor the heir apparent.
George W. Bush (43rh president) who was the son of George H.W. Bush (41st president)John Quincy Adams (6th president ) was the eldest son o John Adams (2nd president)
John Adams his son was John Quincy Adams
The son of George H.W. Bush (41st President) is George W. Bush (43rd President).
John Adams. Son: John Q Adams
John Adams
John Quincy Adams was the son of John Adams, and George W. Bush is the son of George Bush.
He does not have a son, he and Michelle have two daughters.
John Adam's son, John Quincy Adams, was the sixth US president. George Bush's son, George W. Bush, was a United States president. (Franklin and Theodore Roosevelt were cousins.)
Nether of Garfield's son became US president. The older son, Harry was president of Williams College and served in the Wilson administration. The younger son, James R., was in Theodore Roosevelt's cabinet.