Hello woodsfortysix,
Thank you for using Apple Support Communities. It's my understanding that you're repeatedly receiving an alert about AppHostInfoUpdater on your MacBook Pro. I'm happy to help.
If you haven't already, check and make sure all Lexmark software has been removed from your Mac. If the issue persists, test in safe mode. Starting in safe mode allows your Mac to run certain checks, remove caches, and prevent login items from automatically launching. This can isolate possible third party issues. Use the steps and information in the link below for assistance with safe mode:
Use safe mode to isolate issues with your Mac
If the issue persists, test in another user account. This will help determine if the issue is user specific or system wide.
How to test an issue in another user account on your Mac
Let us know the results. Please include additional error messages and any other troubleshooting steps you may have tried.
Have a nice day!