Thanks for reaching out via the Apple Support Communities. From your post, I see that you are inquiring about the grey bar that appears at the bottom left of the Multitasking screen with apps in it (like Facebook) and a greeting. I'd be happy to help!
The grey bar your mom sees displays Location-Based Suggestions, which the About Location Services and Privacy article explains as:
Location-Based Suggestions: When you use Spotlight suggestions or Safari suggestions, the location of your iPhone at the time you open Spotlight, use Look Up, or submit a search query to Spotlight or Safari will be sent to Apple to make location-based suggestions more relevant and to improve other Apple products and services. If you turn off Location Services for location-based suggestions, your precise location will not be sent to Apple. To deliver relevant search suggestions and news, Apple may use the IP address of your internet connection to approximate your location by matching it to a geographic region.
What this means is that when your mom gets to certain locations she frequents often, like work or home, she may see alerts such as "Arrived at work" in that grey bar. In addition, she may also see other greetings, like "Good morning," as well as suggestions for apps she uses in those location (the reason she sees Facebook is because she uses that most frequently in the locations where it appears). You can turn Location-Based Suggestions off under Settings > Privacy > Location Services > System Services.
Have a lovely day!