Hello k9cop,
I understand you are having problems keeping your HP Photosmart C309n connected to your computer, you have to restart the spooler in order for it to print again.
I would like you to go ahead and run the HP Print and Scan Doctor- It was designed by HP to provide users with the troubleshooting and problem solving features needed to resolve many common problems experienced with HP print and scan products connected to Windows-based computers.
Please let me know the outcome, I will watch for your reply.
Thank you,