If your mom loves her iPhone's camera but feels it could use some help in the lens department, consider some add-on lenses like those by Olloclip.
The company has a full lineup for both old and new iPhones including a 2x telephoto lens paired with a circular polarizer lens, a three-in-one macro lens, and its mainstay four-in-one lens featuring fish-eye and wide-angle lenses as well as two macro lenses that focus at 0.7 inch (18mm) and 0.5 inch (12mm) from a subject.
Most people don't make prints anymore because they keep their photos on their phones. The Instax Share, though, isn't your ordinary printer, allowing you to wirelessly send shots to it straight from your smartphone. It's an instant printer, too, delivering Polaroid-like 2x3-inch prints without the need for ink cartridges, but with a little touch of nostalgia.
Want to get Mom a camera that's equally adept at group portraits and shooting from the sidelines? You want the SP-100EE. It has a built-in dot-sight positioned just above the electronic viewfinder. Put the dot on your favorite soccer player and you'll be set to shoot. The 50x f2.9-6.5 24-1,200mm lens with optical image stabilization means you have a lot flexibility when it comes to framing your shots, too.