Yikes. The second that home repairs and car repairs and fighting off bad guys becomes a multi-daily event as cooking and cleaning are we can talk about comparing them. Until then - being ready to combat a home intruder does not count towards keeping a home running.
I also fail to see how mowing the lawn once a week and taking the car in for an oil change quarterly even comes close to comparing to 3x per day meal prep and clean up, not to mention chasing children all day every day.
I'm going to assume you had these terrible notions while you were married and that she left "for no reason" when you required her to be your mother.
Just hire a maid and don't get into a relationship. That's all you're looking for anyway based on your comments.