Once taxes are payed on it you will have slightly over "$20,000.00
Stick $10,000 away for emergencies, pay your rent for a year (average 2 bedroom 2 bath in Nacogdoches cost $516.00 a month or $6,192.00 a year) take the rest and buy an older less expensive car. If you shop carefully that should cover insurance and plates for a year as well.
So you have taken care of your two biggest expencies for a year. Now honey babe, get a job. Even if you start at minimum (not likely, only 2% of starter jobs offer only minimum wages) you should be fine for the time being.
Show up on time and actually do the work and by the time the year is over and you have to start paying rent again you should be earning enough that you don't need public assistance.
You have outlined a perfectly sensible plan that leaves her with nearly $4,000 to buy a car and tags. Plenty of money to purchase reliable transportation. I spent $1200 on a pickup. It ain't no status symbol but it starts every day and gets me from point A to point B. Nobody will steal it and if it gets dinged up a little bit, I really don't care. Insurance is under $40/month and I don't have a car payment!
I can't help but think that somebody at Social Services has had to have suggested this idea to her!