Final answer:
The Duke of Cambridge, also known as Prince William, is the member of the British Royal Family who you might have seen flying in coach in 2014. He is married to Catherine Middleton and will follow Prince Charles in the line of succession to the British throne.
Step-by-step explanation:
If you were flying from Memphis to Dallas in 2014 and observed a member of the British Royal Family traveling in coach, you might have seen the Duke of Cambridge, who is better known as Prince William. He is second in line to the British throne after his father, Prince Charles. Prince William is indeed Harry's older brother and married to Catherine Middleton, widely known as Kate, making her the Duchess of Cambridge. Upon the event of Queen Elizabeth II's retirement or passing, Prince Charles will be first in line to ascend to the throne, followed by Prince William. Should Prince William become king, Catherine will become Queen Catherine, holding the position of queen consort, and achieving this as someone who was originally a commoner.