Hi rheu83,
I understand that you are having a problem getting the Photosmart C4795 printer connected to your HP Windows 7 NoteBook. I will try my best to help you resolve this issue.
Download and run the HP Print and Scan Doctor to see if it is reading your printer as being installed and working.
If not, then I recommend using the HP Officejet Pro Software and Driver Removal Utility to remove all the software and drivers from your NoteBook. DO NOT run the Level 4 as it will remove software that needs to be on your HP NoteBook.
Then use the HP Printer Install Wizard for Windows to find and download the software and drivers for your printer.
I hope this information helps. Please let me know how it goes.
Thank you,