This reply is not aimed specifically at you, so please do not be offended. I am just using your post as an example of many others (hope that is ok!)
I think it may be difficult for people who have never lived in a small town, never lived in a rural area, or never lived near or among lower income families (or been lower income themselves) to understand some of the specific things seen and heard and read in this investigation.
Dublin is a town of (as of 2013) 2,493 people. There are a couple of hundred US high schools with more students than that. The housing development I live in that borders a rural area has more than 1400 homes in it alone. Dublin is a *small town*. Pulaski County crime statistics show their crime rates to be the low end of average.
The house Noah lived in was a mobile home. It sat behind another house, off the main road, down the hill. While that road is pretty well traveled according to news articles (it is a popular short cut for locals between two other major road ways), it is local traffic. People who live in that community mainly.
There are lots of people who let their kids play in the yard. They leave their toys laying out. They don't lock bikes up. Whether they can't be bothered, don't think it is necessary, or just never thought about it - for whatever reason, having stuff laying out in your yard is not uncommon in many rural/residential areas.
This is not meant to disparage anyone who lives near Noah's family (or any other rural community!) but look at the news footage. Cruise some of the video links and image galleries. There is a lot of "stuff" sitting out and around the home (and the neighbors). It is just how many people live.
The home he lived in had no carport or garage. It looks like there was at least one shed on the property but we don't know if it was theirs or belonged to the white house in front. But where else would he store his toys? Lock his bike up?
The home he lived in is an older model mobile home. I read a comment somewhere that said, "I wouldn't go for a nap upstairs while my kid played in the living room." There is no upstairs. There isn't much room to the home at all and probably very little soundproofing. Each person can form their own opinions from this, but when you live in a mobile home, you don't really have room to distance yourself from anyone else in the home. You can pretty much hear what is going on anywhere else in the home.
It was mentioned on Nancy Grace (please, seriously, forgive me referencing Nancy Grace!!!) that Noah's mother worked "late" or worked nights. That is why she was so tired during the day. They must have only one working vehicle, that's why they had to get up, go drop his father at work and come home. It appears that this family was working hard to make ends meet. It is really difficult to fathom when you have never been in that position. It easy to dismiss another adult's poor judgments when you have never been forced to make the same decision yourself. There are a lot of people in the U.S. who barely scrape by, paycheck to paycheck. They have kids, too.
Chronic sleep deprivation and daytime somolence is a significant factor in major industrial accidents & a common cause of vehicle accidents. It leads to anxiety, depression, brain fog, forgetfulness, and health problems. At some point, our bodies DO just shut down.
But when there is rent to pay and bills are due and the kids need to be fed, many parents do what they feel they have to do. Many parents work opposing shifts from each other to save on childcare costs. If you are working a low paying, hourly job, child care costs can easily eat up or even exceed your paycheck.
I am not necessarily defending Ashley White. But it seems to me, based on a number of questions and comments, that many people don't really understand the kind of stress factors that lower income families face. Nor do many people have a grasp on what the lifestyle is like in rural, small towns in America.
Take it as you will and draw your own opinions from it. This is just my contribution to helping people better understand potential circumstances in the case.