is the individual whose data it is. You 'own' the information that uniquely identifies you as an individual - your name, your date of birth, your bank account details, etc.
If you voluntarily pass these details to a company, and that company in any way 'processes the information it must appoint an individual as a 'data controller' - and that individual becomes responsible for the correct handling and storing of your data within the terms of the data control legislation.
If the company goes into liquidation your data ceases to be in its care, and should be destroyed. You gave the information to that company, not to another one that might acquire its computer hardware at auction, or in a liquidation sale. The question of whose responsibility it is to destroy the data is an interesting one, and in the case of a liquidation there may not be the time (or the inclination) for the company's officers to attend to personal data destruction - the liquidator may move in and assume control of the comany's assets - e.g. computer hardware - and company records. Subsequent handling of the data on hard drives would depend on what happens to the drives, but at some point someone acting for the liquidators might attend to the deletion, or they might ask the next owners of the equipment to do it.
What I'm really saying is that I don't know the answer - it isn't something that has arisen in my working life - but I'm intrigued. I have as a client a lawyer who will probably know, and I'll ask him when I next get an opportunity.