While you cannot repeat a quest with the same character (exluding quests that you are given upon entrance to a dungeon), you can start a new character by pressing the "New" button on your Character selection screen.
When you do this, your current character will sit down on the seats and can be selected to play later. You can have up to six characters on your account at one time.
On that link, you can click on the highlighted items for more details (like the "quest appearances").
When you do click on a "quest" name, on that page ("Olde News" is the one where you meet her), you will also see a "quest dialogue" tab that will tell you some of her story.
There might be other fansites that have more information, but this is the one that I use most of all.
On the home page here at wizard101.com, on the things listed under "Community News", then "Community Portal", they show all of the approved fansites. There is a ton of information out there, if you feel like searching: