Hi Jeremy_V,
"What version of the iOS/iPadOS is currently installed on your family members iPad?"
iOS 9.3.5 which is the last version available for this iPad model.
"You mentioned not being able to update apps, are the apps from the screenshot the only ones this is happening with? Are you able to download new apps?"
It appears to be an issue with all apps. Any app that I try to update or download I get the message: 'The iTunes Store is unable to process purchases at this time.'
Is the version of the apps being downloaded compatible with the iOS/iPadOS software that is currently on the iPad? You can also try deleting and re-downloading the apps.
In the past if an app is not compatible there is a pop up saying something like: 'This application is not compatible with this iPad. Would you like to download an older version?'
It appears that there is a problem contacting the store. Also apps that are not compatible tend not to show up as updates.
Also, try forcing the App Store app to close and relaunching it to see if that makes a difference. Check out how to Close an app on your iPhone or iPod touch.
Tried this as well as other possible solutions listed in my OP.
No luck.
If you are still having trouble, you may be able to reach out to the billing team at Apple Support for further assistance here: Get Support.
Thanks, I will try your suggestion.