"works part time providing home care for children and the elderly" is this a veiled way of saying she is a babysitter? If she was actually doing nursing care for children or the elderly, I assume she would be working for a company, back again to the fact that she doesn't have a pay stub, I think she is working for cash under the table.
There's a big market for this sort of thing. Agency-based homecare is really expensive and usually pretty awful. Traditionally, these sorts of casual labor jobs had to be paired with a spouse's income to avoid IRS scrutiny, but IRS enforcement isn't what it once was due to years of funding neglect.
The notion that a bank is recognizing off-book income as income for lending purposes is incredible. Eventually the prospective lender will run into a problem, and usually will take an income hit when they are forced to land a normal job. The other turd about the "part time student" aspect is that she is probably living on student loans.
Doing the math, it's $3657/mo before taxes; where the average salary of a nurse in LA is $90k/year.
[1] Memorable reddit comment about the difference between "nursing student" and "nurse"; it's about the UK, but the same points apply. https://www.reddit.com/r/AdviceAnimals/comments/2kbxs2/stude...
Non-conforming and no-doc loans weren't the only problem in the 2007s. ARMs were a big issue too because everyone thought they could refi before the initial period was up and that ended up not being true.