Hey jj_fuller60,
I see you have some concerns with the Memoji you created disappearing. I'll be happy to help out.
The Memoji that you create should save. Have you tried restarting yet? If not, try that now: Restart your iPhone, iPad, or iPod touch. Also, if you haven't updated to the latest iOS version for iOS 13, be sure to do that now: Update your iPhone, iPad, or iPod touch
If you're still having trouble with the Memoji that you created disappearing, try reinstalling the iOS. Before you proceed, please back up your data using the steps below. Reinstalling the iOS only overwrites the iOS on the device, and does not affect personal data, but it’s always recommended to have a backup first: How to back up your iPhone, iPad, and iPod touch
Once you've verified that your backup is current, follow the steps below to reinstall iOS on your iPhone. Keep in mind that this article was written for a different issue, but these steps will still be helpful. Also be aware, you'll want to click the "Update" button and not the "Restore" button when prompted as the "Restore" button will restore the device to factory settings: If your iPhone, iPad, or iPod touch won't turn on or is frozen
Keep us updated!