What particular model is a "Lime"?
The Pure Deluxe Lowstep appears to be similar to what you describe. Probably a good choice for someone who hasn't ridden a bike in decades. It has both a handbrake on the front and a coaster brake on the rear, so she can get used to a hand brake. It's not automatic shifting, however. It has an internal 3 speed hub, which is easier to shift than a derailleur equipped bike and can also be shifted while stopped.