Hi @garyfg
There are a few sources online for the drivers. Here's just one [https://www.driverscape.com/download/hp-photosmart-5510-series|example].
Search online for [https://www.google.com/search?client=firefox-b-d&q=+officejet+5510+drivers|officejet 5510 drivers] to find others that may suit you better.
Be aware that ''generic'' software i.e. non official, ''may'' be very basic and may not support all the features of the printer. It can vary between the different suppliers of the software.
As always when downloading and installing software, scan it for viruses, malware etc with an anti virus program in your computer, before installing it.