"I don't want to talk about work."
"Well, I just want to know!"
"But you don't need to, and I don't want to talk about work." Big smile, bean dip.
Or possibly you might need to go with "Becky, I'm sorry, I'm busy and don't have time to chat (at all) right now." Perhaps use that line at work, and default to using the first script when you run into her outside of work and are happy to talk (for a little while!) about non-work things?
Honestly, it sounds like with her it may have to be all or nothing - she has no compromise level between "Tell me everything and let me talk to you all the time and give you totally useless advice!" and no talking at all. She already hasn't accepted one pushback from you and is trying to go right back to what she was doing before, just adding a whiny little justification as to why she's asking. (Nosiness and boredom, pure and simple.)