Not knowing what you have or plan to have in the kits, and where you plan to go, it is hard to answer your question. So I will just make a few guesses.

Assuming that you are physically able to handle more weight in your bag, you could have the big stuff, and give her lighter weight gear that could allow her to remain somewhat prepared if you get separated, and would complement your gear if not. You carry the tent, she carries a tarp, and knows how to use it to make a shelter. You carry the big stove and fuel, she carries a Pepsi can stove and small bottle of alcohol. You carry most of the food, she carries the main entree from a couple of MRE's and a bag of granola bars. You carry the folding saw, she carries a wire saw. You would each carry your own clothing, personal meds, etc, but each having some of the personal meds for the other wouldn't hurt either. Just keep thinking along those lines and see what you can work out...