Most coursebooks have audio CDs with them - that could be a possibility? I'm not convinced that it's possible to learn entirely from a CD - I think you need reading, speaking and grammar practice too. English File is a good course, for example.
Are you doing classes? Maybe ask your teacher which book would be best? Are you here in the UK or in Slovakia?
Hi yorkshirepudding: I don't think your neighbour will find anything specific for Slovak learners, but most coursebooks will give her a good introduction to the basics. A class would be the best thing though, seeing that she's here in the UK. Check ESOL classes offered by local colleges; they tend to be free or at least heavily subsidised particularly at the lower levels.
English File is a good course - it seems to be one of the best. But, of course it's designed to be used in a classroo situation with lots of speaking practice. A class would be a good way forward, I would say.