I would have left her the laptop.Being a child myself (even though not as young as your daughter) I see what you're doing as pointless.I have an alchoholic father, I've lived with him all my life, and Id rather be told the truth if I wasn't, then be told he's moody or something.It's reallity, and rather then preventing your child from doing these things, shouldn't you discuss it with the mother that she could simply put a lock on cretain statuses? So that her child, and/or a few more people can't see it?

As for forbiding her to go to any sites, I have to say this is something very ..obsessive? That people like to do.
She is going to learn about sex and similar sooner or later, if she has tehnology, why not let her learn through it? Sometimes, expecialy for shy kids, that's alot easier.

The only sites you should block for her are ones that may actualy cause her some damadge, in most cases these are sites that already have an age limit. (From 13 to up).

By doing all of this, you are showing your daughter that you don't trust her, and I would have hated it if my parents tried doing the same.10 years old or 28, it doesn't matter at all.You can't keep your daughter from the real world no matter how you try.

''Risky photos''? You can't treat your children as todlers forever.In fact the earlier they start learing about sex and similar the better.I suggest buying her a book about sexual education, protection and similar.Sure, she's still young and most probably doesn't have any need for it.But those books have alot of information on things that will eventualy take her interest.
In stead of internet, she will have a book filled with information actual child psyhologists wrote, so she will know how to deal with the upcoming situations emotionaly as well. (Even upcoming periods can be stressful at first, if you are not openly talking to her about it already)

I'm 15 years old, and thanks to my father (an alchoholic or not), by the time I was 12 I had at least 8 books on the subject, and read each of them at least three to five times.You shouldn't limit your child from the real world.So what if she's 10? So what if she recieves a link or searches up something ''inappropriate''? (Ex: a porn site. It's nothing she wont be hearing or learning about sooner or later.Having her see one (willingly) may not be a bad thing to be honest.May bring some questions to you, meaning she will gladly educate around the topic.Which is very important.)

Every child needs to know what to do and what not to.. As for facebook, you should only make sure two things things:
-If she registered using her real name, tell her to change it imediately.
-Explain to her that she should not give out any information regarding her name, phone number, adress and similar.

That's it, and that's all you should limit her to.At least regarding internet.As long as she's not meeting anyone in the real world (someone she doesn't know), or giving her information out, she's alright.