It just so happened that the day before I discovered Find Friends, which lists all of your potential friends based on who you went to school with or worked with and Friends of your other Friends.
I was being nosy looking at other people's profiles, but I don't remember looking at hers, and I definitely did not intentionally send out any friend requests.
I wonder if I accidently clicked on something which sent an automatic request.
When you send a request, don't you usually get a pop up box with an option to send a message? I never got anything saying I was sending X a friend request. If I had, I would have just hit CANCEL.
ETA: Headingbackhome, how would I check my FB account about this? All I see is that after I confirmed the request, on both of our walls it says Sweetpeach and X are now friends.