In act 5 why does hippolyta believe the lovers 'story of their time in the forest

Though the lovers think it was a dream, Hippolyta noted that both people dreamed the same thing.  That means there was a connection that truly happened during that time. The fact that it was exact to the last detail made convinced her it was real. 

answer; the answer to the first question is (king james ii was replaced by his daughter mary and her dutch husband william of orange;