One of the first things Moses heard that God is the God of the living, not the dead. When Saul did that, the gates of Heaven were closed and the righteous dead were waiting for the coming of Christ. But all of those are now in Heaven and alive in Christ.
The Catholic Church also makes a distinction between the Church Triumphant (the saints, canonized and uncanonized, in Heaven), the Church Suffering (those is Purgatory), and the Church Militant (the faithful on earth). Though the three are in different places, they are part of one Church and pray on behalf of each other to the Most Holy Trinity.
Interesting distinction - I will have to think about that.