Thanks Blondie, Leolaia, and Greendawn
I think I get it now. I figured that some creature(s) must constitute Jehovah's Organisation, otherwise it could not be Jehovah's wife and our mother. When the Governing Body tells us that Jehovah's Organisation is "our mother" it appears that they are not talking for themselves here but "our mother" actually means "your mother", i.e. the GB is talking at me not to me.
Just as I suspected, it appears that Jehovah's Organisation is simply what the association of living men and women who claim anointment call themselves. I find a similar problem with the Catholic Church, which also claims to be God's wife, but when I try to locate this wife of God I find only men and women in silly robes.
The question arose because I was trying to witness to my family members who are witnesses. I sat down for a watchtower study with the old literature only to receive the reply from one family member that I will not shake his faith, and that he will only examine current literature, that means anything which is on the Watchtower CD, or in the insight book, etcetera, or in the New World Translation. But he was willing to engage on the topic of just what the above phrase meant and nobody could come up with a meaning that reflected favourably on the WTBTS other than that since like most Watchtower's it was unfathomable and simply reflected the fact that the Bible too is written in metaphors.
If we look at it charitably, then since Jehovah's organisation is the wife of God, we get promoted to be once again sons and daughters of God and not merely grandchildre. But if that means that the former Sons of God (the Brothers of Christ - Bride Class, Anointed class) get promoted to be 144,000 virgins engaged in polygamous marital bliss with Jehovah then it's quite a turpid thought. I am assured that this imagery is only a metaphor, but it's still disturbing.
The teaching about us 'other sheep' being grandchildren of God while 'the anointed' are Sons of God (see insight book "Sons of God") goes against the Lord's prayer taught by Jesus and his statement that whoever does the will of his Father is Jesus' brother or sister. Actually the insight book does grudgingly admit (page 999) "This must mean, then that the revelation of the sons of God in glory opens the way for others of the human family to enter into a relationship of actual sonship with God and to enjoy the freedom that accompanies such relationship"
But what is "the revelation of the sons of God in glory" - I surely hope they don't mean the fact that they reveal themselves by drinking the wine and eating the bread at the memorial, but what other point does there seem to be for it?