Having been in the same situation - Quinn Direct will take into account her named driver experience, but just for the first year. After that she will have standard NCB, which will, rather bizarrely, mean that her premiums will go up after a year, as they will just be calculated using her 1 year full NCB!
Have a look on insure.ie aswell for some quotes (I have no connection), they claim that the fact that you have an insured car could add an extra discount to the insurance. In the end, with three years as named driver and 1 year NCB I got the best quote from AXA (through insure.ie).