Hi Altecgirl,
Welcome to the HPCommunity, I hope you enjoy your experience! To help you get the most out of the HP Forums I would like to direct your attention to the HP Forums Guide First Time Here? Learn How to Post and More.
I see that you are suffering from an overheating issue. This overheating would have brought on the fan error. Try this HP document on Reducing Heat to Prevent Overheating. What changes did you make? Are you still able to boot up normally before it shuts down? What is your operating system?
Thank you,