It's impossible to do. Selling guns is profitable, so they are going to be made, whatever happens. It's the same thing with drugs, selling them is profitable, so they are going to be made. You cannot stop people from doing that.
It's possible if you reduce production only to military/police force. Singapore/USSR are examples. USA is over-saturated with guns.
A school teacher had an arsenal of weapons with a mentally sick child.... Wow that's a recipe for a disaster. She was so retarded.
Now imagine - myrkul has a mentally sick child. myrkul has a gun at home, this child takes that gun and kills 20 children.
Who's responsible?
Oh, you don't need to convince me, I'm living in Canada and I'm pretty damn happy about the gun control laws we have here.
You can control the network distribution of guns though, by using laws to hinder the free market of guns. You can't tell to a business to stop producing M-16, but if you make laws that prevent the free market of M-16, it's going to force down the production anyway. But you cannot outlaw the production of guns, because it's going to do the same effect as the current drug war, costly and ineffective.
As for your case of sick child, you can't blame the parents. A mentally ill child need a lot more resources than parents can provide. It's the job of the community and the society as a whole to treat mentally ill people. It's a problem that can't be solved on an individual scale. Guns are just the visible part of the iceberg, the problem goes a lot more deeper than that. The only problem with guns is that it's a too powerful tool to hold for many people. It's a specialist tool, not a general everyday tool. When a sick person get hold easily of a tool that powerful, well, you get the annual USA mass shooting that feel almost like a daily show.
"Two kids shoots in a school"
"Another mass shooting, in a theater near you!"
"A new mass shooting, better and ever, now with kids less than 10 years old! Inside exclusive interview with a 7-years old that lost TWO of his friends!"
You also have the NRA board of clowns approval that goes on TV and say "oh look at our great quality guns! Kids are instantly dead, our weapons are so efficient. People, you need MOAAR weapons so you can be the next hero that shoot the shooter before he kills the kids!"