She should find out why she was not able to get a position in the past before sidling up to the VP to get a job.
Dear Prudence,
I work at a nonprofit organization where one of my main responsibilities is to coordinate a foreign exchange program. My current job is OK, but it's my dream to work at a particular media organization. I've applied to a few positions and even a fellowship at this news outlet, but have had no luck. Through my current job, I've recently met (virtually) the vice president of this same media organization because I'm sending her daughter abroad through our program. In my email correspondence with the family, the VP and her husband have remarked several times that I have done a spectacular job with this project thus far and once even told me I would make a marvelous "management consultant" because of my attention to detail. How can I take advantage of this opportunity to network without compromising my current position or employer?