First check who is insured to drive the vehicle, ie named drivers / any person with the "OWNERS" consent etc.
IF you are a named driver no problem but unless you partner is included in classes of person entitled to drive,they could be in trouble.
Secondly, did you tell the insurance compay that you "OWNED" the vehicle or were the "Registered Keeper" or both.
As the person who bought the car YOU are the owner unless you have passed title, The name on the registration document (log book) is not always the owner and being named on the registration document does not prove ownership.
Dont try to change the details to get round this, if its a genuine mistake although a technical stumbling block it would be a harsh judge that would convict and a good sollicitor should have no trouble getting round this however if you try to change things on the quiet you imply a certain underhandedness.
but do speak to the insurance company.
Woz_a