To Squib or Not To Squib

[Potterfanme]

No: HPFGUIDX 79872

We are told that magical babies names are written in a book when they 
are born.  I am wondering if squibs are considered to be magical 
babies until they go to school or if they are not put in the book or 
what?  Neville said that his uncle and grandmother were afraid he 
didn't have enough magic to go to Hogwarts but I wonder if that was a 
misconception on Neville's part.  Filch is a squib and he is at 
Hogwarts.  The room of requirement works for him like it does for the 
kids.  I wonder also if there are degrees of squibness. (is that a 
word?)
Susan