Have you tried starting the machine in VGA mode? Just before the windows logo initially appears, tap the F8 key repeatedly untill the Windows Advanced Boot menu appears. Then in the list there will be an option to load windows in VGA mode (640x480) I work in a repair shop and sometimes see machines that have their resolution set too high for certain LCD monitors to display correctly, and end up garbling. If it is still having this issue even under VGA mode, it is also possible that the refresh rate of the graphics card is set too high, and you will need to use the machine elsewhere or get your relatives to bring their monitor over so you can change it and continue to use it.
If you find the VGA mode does not work, or you do not know how to increase your screen resolution once you are able to get it working, post back and I can instruct you further