In Orwell's "1984," the government has developed a very effective method both of keeping party members in line and of raising up the next generation of party members to be blindly loyal, dogmatic, arrogant little pricks.
From a young age, the children of party members participate in youth societies where they are indoctrinated with a mindless loyalty to the party and its ideals. These children are taught that nothing is more important than the party and that anyone who does not display absolute conformity to the rules of the party should be turned in without a second thought. And there are so many rules...
Mrs. Parsons is terrified of her children because it would be a simple matter for them to either decide either that she had broken some rule or that it would simply be easier for them to turn her in than to deal with her. It is the ultimate coup and sign of party loyalty for a child to inform on their parents. Ultimately, it wouldn't matter if Mrs. Parsons had committed any crime against the government; the party follows the rule that being accused is the same as being guilty.
Read the book two months ago