Hi, Sueperbly, and welcome to the Apple Support Communities. We understand that you're having some concerns with receiving notification noises, with no notifications. We'll be glad to look into this with you further.
To resolve this, you will likely need to comb through each of your individual application notification settings as outlined in Use notifications on your iPhone, iPad, and iPod touch and confirm they are set up properly.
For example, if you have notification sounds enabled, but not banners, then you may hear a sound, but not actually see the notification.
Give that a try, and reach back out to us if you're still having issues.
Thanks for reaching out.
Cheers!