No, the parents will not need to be notified, as long as they are not creditors too. However, they will, of course, see mail arriving and, maybe, overhear phone calls.
My opinions are merely that .. opinions based on experience. Always seek professional advice.
IVA Completed 23rd July 2013 .... C.C. 10th January 2014
You may also need to provide proof (such as a rent book) that you are paying rent to them.
Sharing from experiences of dealing with debt
The greatness of a man is not in how much wealth he acquires, but in his integrity and his ability to affect those around him positively.
Bob Marley. http://kallis3.blogs.iva.co.uk