Hello there Thefirstwaldo,
Thank you for using Apple Support Communities!
I understand that you are having an issue with receiving a notification from your Notes app even though your notifications for that app is turned off. I am more than happy to help you out with this.
If you are sure that your notifications are turned off, it sounds as though it may be Siri Suggestions that are popping up on your device. I recommend checking to make sure Siri Suggestions are turned off specifically for the Notes app. To do this, navigate to Settings> Siri & Search. From their, scroll through the list of apps until you find Notes and adjust your settings.
For more information on Siri Suggestions, check out this article:
Siri Suggestions, Search & Privacy
I hope this helps! Have a great day!