Your arguments are all over the place. Try sticking to the topic. Children can't be executed, though children who committed crimes can be executed as adults. The shortest time on death row is eight months, but it took the guy four years from crime to death sentence.
Capital punishment for juveniles in the United States - Wikipedia
en.wikipedia.org
Here's a list of people executed for crimes as children. Mostly Texas, surprise, surprise. Twenty two is the youngest death row victim (since 1976)
Now there is Roper v. Simmons which makes it illegal be executed for crimes under the age of 18, but since Row v. Wade got overturned, anything is possible these days.
Oh, mommy can still execute her innocent child. And exactly what judge was at these sentences?