Averatec made very bad laptops. I have one. It is terribly underpowered. Its WiFi is an internal USB card, and the switch only applies power to that (simulating insertion/removal.) I was unable to install anything but XP onto it (and it's struggling even with that.) The company was so bad that in December 2012 the company filed for chapter 7 bankruptcy and went out of business. It takes a talent for a Korean OEM to fail in producing laptops. They had that talent; their notebooks were awful.
You would be INFINITELY better off buying a modern, thin and light laptop. You can buy it with Win7 from many OEMs, or you can install any other OS onto it. But know that WinXP does not automatically optimize itself for an SSD.
For the purposes that you described (e-mail, face book and solitaire) you may need only a Chromebook or a tablet (iPad or Android.) One advantage of those is that they are stable. There is nothing to download every other Tuesday, and no need to reboot, and they don't crash, and they are far more portable.
I also gave her an Acer A300 Iconia tablet. She like that a lot. So does her 10 year old Great Grandson. She let him use it and he installed a bunch of crap and downloaded lesbian porn to it. I make it “forget” the network before he visits.
There seems to be no way to get her to tell him “no”.