I was getting slightly cross ( hey, I'm British, what can I say? ) with Firefox 47's insistence on asking me whether I REALLY wanted notifications from a site, each and every time I opened or refreshed a page on that site.
This had the answer: -
<snip>
You can reset this to the default (or outright disallow it) on a per-site basis by right-clicking somewhere in a blank spot of the site (or pressing Ctrl-I on Windows or Cmd-I on Mac) and then selecting "View Page Info" from the opening menu. This opens a window with a "Permissions" tab. I that, scroll down to the very bottom until you see "Show Notifications" as the third-to-last entry. Either reset that to the default, or just select "Block".
Additionally, the notifications are currently a labs feature in Google Music, so you can also disable them by going into the Google Music Labs preferences and disabling them.
Additionally, the notifications are currently a labs feature in Google Music, so you can also disable them by going into the Google Music Labs preferences and disabling them.
</snip>
I changed it from Use Default to Block
Job done :-)