What I've done with friends and relatives on numerous occasions in the past is book the reward night in my name but add (for example) one or both of my parents as additional guests. This has always worked out absolutely fine for us - even when I've used my name (male) and my father's name but yet mysteriously there was a man and woman (my parents) checking in together.

I mentioned this recently in regard to gifting a room to strangers, but I'm not so sure it's such a good idea in this respect because the room would be in your name so any damage the strangers might cause (this was for football fans ) would be the gifter's responsibility. I hope you don't have this worry with your parents

Here is the link to my comments - not sure if this is the thread to which you are referring?