Hi Davecraze,
Thank you for bringing your question to Apple Support communities.
Based on your description and screenshot, your wife is seeing a notification to connect with another device, possibly Bluetooth. Is there somewhere or someone nearby when this notification appears? Typically, Bluetooth devices that ask for notification access are in-car entertainment systems and smart watches. Is there one of these devices nearby that is switched on and trying to connect with your wife's phone.
I am interested to hear if you find anything connecting nearby. Do let me know if I have misunderstood your question or you are unsure of my questions above.
Kind regards,
adh77