You're 1/3 of the way there. Catholic Church also resides in Heaven and in Purgatory. There is no separation from Jesus.
For your edification:
The Church, the Mystical Body, exists on this earth, and is called the Church militant, because its members struggle against the world, the flesh and the devil. The Church suffering means the souls in Purgatory. The Church triumphant is the Church in heaven. The unity and cooperation of the members of the Church on earth, in Purgatory, in Heaven is also called the Communion of Saints. When St. Paul uses the word "Saints" in opening an Epistle, he does not mean they are morally perfect. He has in mind Hebrew qadosh, which means set aside for God, or coming under the covenant. Being such means of course they are called to moral perfection. But of course, not all have reached it in this world.[1]
[1] The Catholic Church is the Mystical Body of Christ. (1990). Retrieved from http://www.ewtn.com/faith/teachings/chura1.htm
Funny...
I don't FEEL edified.
I guess your church's invented PURGATORY can; it seems; contain human flesh; but the Scriptures are VERY clear that GOD's heaven will NOT!
Romans 14:9
For to this end Christ died and rose again; that he might be Lord both of the dead and of the living.