Hey @aflynn37! The best next step here is checking the linked chimes for each Doorbell in the Ring app, to ensure they are not also linked for motion/ ring alerts. This can be done by opening the Menu from the Ring app dashboard, selecting Devices, selecting the Video Doorbell, and then tapping the Linked Chimes tile. There you will see the option to link/ unlink for rings and motion. Please do this per Doorbell, just to ensure both are configured as desired.
If this concern persists, try removing and reinstalling the Ring app and saving these settings again. Please also ensure each Chime is also receiving sufficient signal to save these changes efficiently. I hope this helps! 