Good morning, Keitin.
Here are my suggestions:
Secretary of State Clinton Arrives in Bulgaria This Week
An Old Man Finds a Rare Coin (If you use "the," that means that he was purposely looking for a specific coin. But in this case, I think he just accidentally found a coin that people later discovered was rare.)
Former President Bush Hires His Wife as His Secretary. (If you use " a wife," that means that he hired the wife of anyone. I think he probably hired his OWN wife.)
Have a nice day!
Student or Learner