One friend I had in school qualified for free school lunch, so presumably below the poverty line.
His parents had a house, with a yard. There was air conditioning, cable TV, and each child had his own room. I distinctly remember a nearly-server-class PC much better specced than anything my family owned (a dual-processor desktop in the 1990's!)
Poverty stats don't tell the whole story, especially if they're only based on income levels. A wage that would have you living out of your car in SF might allow a squarely lower-middle-class lifestyle in the rural Rust Belt.
You just proved that though - owning a house, with a yard, is not a sign of wealth in most of the US. There are plenty of cheap houses, with yards, to go around. Just not in places most people want to live, leading to less wages and less opportunity because of the lack of jobs.