Micci - you can change that. Credit is not based on address any more, its you personally and any financial association you have with others. It will follow you, not your address.
You can contact the credit agencies and explain that there is no-one living at your address other than your family. You can produce a council tax bill to evidence this and they will dis-associate anyone who has been financially connected to you who has nothing to do with you.
The only people who should be financially associated are those who you have credit/bank accounts with, ie partner.
The problem is when companies do a search on the same name, and state your address, it creates a link, but as this link is not correct, you can have it removed. This will improve your own personal credit score by a lot of points.
My credit score went down for a while when DH and I apllied for a joint account, as I became associated, and any checks on my name, checks his credit too, and his credit score is not as good as mine.
But my credit has nothing to do with the person who lived here before me. IYSWIM