So if I delete a note that I created and it’s being shared it will be deleted from the other persons notes??

If you’re the author, then yes... it will be deleted from their devices as well.

What Apple device? What OS version is it running?

You found the forum for Apple Hardware made before 1998; posts here get very few views. By your telling us your device, we can ask the Mods to move you to a more active and appropriate forum section.

1990 what? Wow... that was a while. Good catch.