I created a bare-bones Firefox extension that does this but for copied text. It just appends the website URL and title to the end of the copied selection and uses Alt+Shift+C to trigger the extension.

I like saving stuff as plain text, and when stumbling upon an old quote or code snippet that I've saved it increases the chance that there is some context as to where it came from.

Here's a link to the addon, maybe someone here finds it useful.

https://addons.mozilla.org/en-US/firefox/addon/copy-with-con...