5600 calories is a generic Calculation by Polar. The amount of calories your wife burned is best found through experience. [Edit: 5 Hours X 400 calories = 2000 calories]
As mentioned by Tom, body fat is the principle reserve we work against, and most of us have enough to supplement on multi-day hikes. Rations for military field days are around 4500 calories. Ripped from Livestrong: "A 130-pound person will burn approximately 590 calories in one hour of heavy backpacking, the Changing Shape website reports. The same person will only burn approximately 295 calories in one hour of light backpacking." And,if I recall, Mike C! said NOLS trips (multi-week) aim at 3300 calories per day.
Another source, when you are looking at a one-day event, is the amount of reserves you have stored in your muscles and in your liver. This is generally around 1500 calories for a "typical guy" with lots of muscle mass. I do not recall what the number is for a "typical woman" (Probably around 1200 calories.)
For a 7 day trip you also have the benefit of a "caloric cushion" that usually lasts for 3 to 4 days for me. After that I Know when I'm hungry. But if I'm hiking 10 hours a day hunger is typically not at the front of my mind, and I do just fine on "fewer calories in versus calories out". (It is on the "social trips" with lots of camp time that I suffer.)
So take 3000 calories a day. Weigh in and weigh out. See how you do. See how much food you bring back. Keep good records and adjust as needed. And, as always, YHOH.