I have contacted Companies House and told them, and I have also put any correspondence back in the post with a 'Not this address!' note on it.
But, is there anything else I should do?
And could anyone tell me what are the implications of this?
If you google the business it comes up as registered at my house.
My house is on a small street in a village-no businesses on it at all, no shops or commercial activity of any kind! I don't understand it.
Apparently CH take ages to acknowledge anything of this kind. And still I keep getting letters and advertisements for this business.