Mom banned FB account but I made one?

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She's trying to protect me because I was bullied and cyber bullied by a girl and she doesn't want her to do that on FB where everyone's on but I made 1 anyways. I didn't add anyone and I put a fake name but do you think she's right? Should I hide my FB from her?
She was jealous because I was smarter and told other ppl all the crap she could think of. But I am considered smarter and I'm going to university while she's still in high school (skipped grades)

That was years ago but she still managed to find my friends and spew lies about me..
@John B
I'm not a kid you "brat" lol. I respect you because I have made the conclusion that you're ignorance and false assumption has led to you posting the most ridiculous and vexatious comment I ever read. Don't be sophomoric and quit wasting your time. Hit the books kid.