A limited company is a legal person. Directors are only 'employees' of the limited company as agreed by the shareholders. If the directors are acting in good faith and the limited company has to be wound up in the normal course of operation, the directors are not responsible for it. And, of course, their personal assets will not be brought up to cover the demands from creditors if the company's assets are insufficient to meet these claims..
However, if the directors are not acting in good ethical manner or even involved in some unlawful acts, he maybe liable for any civil claims on the company and the directors as well. He may then have to use his assets to cover up the claims if admitted. He may also have answered for a criminal allegation if there is ground to charge it.