Looks like her graphichs card needs updating.
See if it starts in safe mode keep tapping F5 or f8 as the computer starts and go into safe mode with networking. Go into device manager and click on Display Adapters and it should tell you what she has installed on her computer.
Double click on that and click on driver.And try and update the driver.
Not sure if you can do that in normal conditions with the external monitor plugged in whether it would find the driver for that or not.
No doubt someone will be able to give you better advice but it gives you something to try while waiting.
Even using the external monitor it should tell you what graphics card is being used just a matter of going to the makers site and downloading the latest driver for it.