I an not an electrician but a physics/ electronics teacher. A word of caution ... never connect a cable which is marked as live to one which is marked as neutral - either you later or the next person will be in danger.
It has been suggested to me by an electrician that adding a live coloured sleeve to both ends of a neautral coloured wire might be the best thing to do before proceeding in this situation as outlined.
best wishes Nyge, March 2011