Jill got a new wireless router and now it's kicking her off the internet, replicating the same problems of her previous router. Leo says that a router dropping the connection from time to time is often a sign of a failing router. Leo advises getting the Asus 3200. Cheap routers are a false economy as they don't perform well, so Jill should spend a little money and get a better router.
She may also want to check her environment. Jill has a Belkin, and Leo says it's hit or miss with them because they just re-label routers they get from overseas. If the router light is blue, that indicates that the router is connecting to the Internet ISP. Next to that should be some "blinky lights" that signify activity as data is being sent/received. Leo recommends doing a factory reset. She should unplug the router and hold down the reset button for 30 seconds. Then plug it back in and let it reacquire the internet (note, router procedures may vary, so check the manual). That should clean it out and get it back to the default settings. Then she can reset her password and she should be able to get back online.