A young single mom with two kids, unless she has a very well-paying job, should not be able to afford a suburban home with amenities.
My first house in 1984 was a 2-family in the city for $50k. Even at that I could barely qualify to buy it at then interest rates of 17%.
That same house 40 years later goes for maybe $110-$120k tops.
Young people today expect to start out with a house that their parents could only afford after 20 years that is $500k.
My first house 1984 $50k
2nd house 1989 $75k
3rd house 1997 $114k
Current house 1998 $200k