Hi liz and welcome to the forum
The debts taken out by your parents are unfortunately debts that they are responsible for and will have to continue paying. In turn, they are creditors of yours, but as "associated" creditors by nature of their relationship to you, they may be asked to step aside for dividend purposes if you were to enter into an IVA - ie forego their right to receive a payment.
They will not need to accompany you to any meetings.
Regards, Melanie Giles, Insolvency Practitioner for over 20 years.
For further details contact me at
http://www.melaniegiles.com and view my IVA blog at:
http://melaniegiles.blogs.iva.co.uk