In my house, there are just two of us, which makes things easier to sort out.
The results are not yet in, but I have tried to train my wife to do just two things: Grab the loaded-but-not-chambered shotgun from our known staging place(s) and be able to quickly reload and hand back to me that shotgun or any of the limited number of handguns I pass to her ( a large-caliber revolver and 2-3 semi-autos).
Not much different from the wagon-train days.
In a firefight all I ask is immediate obedience to orders given. Lead, or get out of the way.