hello
all these terms can be confusing can't they?
It is recognised by the home ed community and experts who have looked into this, that the child deregistered from school often need a period of Deschooling
it certainly was true for my children. All three of my children had SEN, the youngest very severely so.
We spent so long in school trying to reinforce all the things she should know and forgot about.
Eventually after deregistering we were persuaded by other home educators to allow a period of deschooling. We declared ourselves on holiday from anything that the children would consider remotely educational (after all schoools we recokoned had long summer holidays, we could do the same ....just starting in January.
After a while of just watching what they were doing and answering questions as they were asked and doing what the children asked, our deschooling became Unschooling (which is usually called 'Autonomous home education' in the UK) as we realised that they had learned loads without any formal instruction!!
From outside someone might say we have spent the majority of last ten years doing 'sod all'!
We have read stories to the children whenever they want them, we have watched TV together, DVDs, spent hours on the beach, in the woods, paddling in streams, done all sorts of activities and camps with the home ed community nationally and locally.
Oh we have had a ball, such a lovely life.
The sort of life that others get to have on summer holidays, we've done that for ten years.

When they were ready to do more formal stuff they let us know......and did much of the organising of it themselves!
I have just read your op out to my youngest daughter. She left school aged 8 totally unable to read or spell, even her own name.
She says the time is simply not right for your daughter to remember this stuff.
It will come when the time is right, everything will click into place.
My youngest dd only learnt to read when she was 13, it didn't stop her learning though, we read those stories to her, we got her audio books from Calibre as we really wanted to help her have a real love of stories.
We searched for fossils, and went on Roman workshops and had pretend battles with the celts, we went to museums, art galleries and theatres, and I or someone from the HE community read everything she needed them to, without the ridicule and bullying she had suffered in school.
We talked and talked and talked and answered those questions........and I looked up what I didn't know the answer to!
I just googled "Is this all a dream or are we real?" and got 115000 sites come up, so lots of people are asking that same question!
I'd suggest that is the question of a bright child, who is doing some deep thinking!
Everything will fall into place.....unschooling isn't neglect, you are very involved with your children, following their path, facilitating their needs and answering their questions.
Things fell into place for us. Our children are now at university and FE colleges.
in fact one of the other young people at dd2's college said
"so let's get this straight, I have spent all the last ten years, sitting in classrooms, doing subjects I wasn't interested in, doing as I was told, unable to talk or play....and you were on a beach, or camping in a field, or watching TV, talking and playing as much as you want and we have ended up in exactly the same place here at college, except you are the one getting straight distinctions in the college work?!"
DD2 smiled and said "yes, that would be about it"
my best suggestion would be for you to go and check out that website I mentioned above, but read some stuff by Alan Thomas, there is an article on '[http://www.infed.org/biblio/home-education.htm Informal Learning']]{another term for Unschooling'autonomous HE!!) and he has a book out called Children learn at Home