@onemoremom12 As much as it seems contrary to what you might think, I would say that the essay, for me at least, was the least stressful part of the weekend. (Well, it was stressful before I knew what it was but would have been less stressful if I knew what it was.)
From what I know of the essay, the goal of the entire exercise is to just see how you interact as a student and how well you can take in and understand new information. The essay is a random topic that you are not expected to know anything about. My essay was on disabilities in the modern age, something I knew nothing about, and the other students who were in the class with me all had different levels of knowledge but when it came time to actually write the essay it was on the information we had just gone over. As long as your D comes into the essay period ready to learn and engage in the class she will do fine.
In terms of the reception, at least in the Comm School, a good amount of professors are there. I remember talking to quite a few professors during the reception, most of which I have real relationships with now. Obviously, not every professor is going to be there but there will definitely be some to talk to. They all take pride in talking to students and having a say on the students they really liked. My advice though wouldn’t be to focus too much on the economics professors. Get to know professors across the different majors and also talk to some students. Don’t get too locked into talking to one group of people, be it, students or professors, use the reception as a time to get your name out there but also as a time to learn as much as you can. This is the most hands-on tour you can get. Also, let your D roam on her own. You can use this as a time for both of you to focus on and learn the things that you each want to know, but let her appear confident on her own.
But at the same time, make sure she finds and establishes a relationship with whichever professor is going to be giving her the interview. They most likely won’t be an economics professor which is one of the reasons I say not to focus only on economics professors.