I am sorry to hear about your father's stroke. It is unclear where your father is right now.
Insurance coverage usually lasts until a point where patient no longer needs intensive therapy and can be managed in a less intense setting. If you had help at home, would probably welcome the fact that your father returning home and would continue with outpatient therapy. The difficulty is in finding someone stay with your father why your mother works. My experience has been that it is best to hire someone to stay with your father rather than to use an agency. An agency is much more expensive and doesn't mean that you will get more qualified person. It helps to ask around your community see people know someone takes care of people with disabilities. Local churches, community organizations, adult day care centers and independent living centers can all be a good resource. Likewise, there are people called independent case managers can help find attendant care and people to stay with your father while your mother is at work. If you cannot find these people on the Internet or in the telephone book, contact the local chapter of a stroke support group in your area. Local support groups will put you in touch with people who have faced the same type of problems you are facing today.
Your father is in a facility, they should have a case manager and point you in the direction of the above named resources. Unfortunately, most insurance does not pay for this type of resources, but he may qualify for a variety of government, veterans or community resources.
I hope this is helpful and good luck.
After your stroke you may be experiencing a new normal, but remember what George Eliot said- It is never too late to be what you might have been. You still can achieve new goals.