Welcome to the forum, unfortunately I suspect the problem with finance company could be the truth. This is a problem with some of these private training companies. They are simply a small business and like many other small businesses they can have cash flow problems and if some of their business running costs are via loans, overdrafts, or 3rd party finance agreements, if the funds dry up the company can struggle or even fold completely. There was a case last year of a training business that closed up leaving many students facing no means of finishing the course or getting money back. I don't know anything about the particular company you are talking about, possibly you local Citizens advice or Trading standards may have some information about them or what legal rights you have. The general consensus of our members tends to be these training companies can be more expensive and lower quality than the traditional college training route. I wish you luck in resolving your problem.
Doc H.