Can my Mom drive and still get home health?

Here are links to the official guidance though on this from the homebound rule point of view - the theory is that if you are mobile in the community you can access health services there too (assuming otherwise safe and appropriate):

questions.cms.gov/faq.php?id=5005&faqId=2389 addreses it specifically, sometimes the answer might be yes. (The stereotypical little old "Sunday Driver" could posibly be OK.)

www.medicare.gov/Pubs/pdf/10969.pdf

This whole mess is still terribly inappropriate for people with physical disabilities who need attendant care to get up and about but then can be active in any pursuit they can physically perform, modified or otherwise.

Homebound rules have been eased a little, but multiple strokes without a formal specialized OT behind-the-wheel eval is a no-go.

Home Health is only for the housebound. We were clearly told that if she was going out, even as a passenger, the service would stop.
Once your MD says you should not drive, your license is suspended. So take the car away immediately, off the premises. If she gets in a wreck, she will lose everything when the victims sue the pants off of her.

Ginger, you answered your own question :) Get Mom out from behind that wheel.

She's had a series of small strokes and has a nurse come once a week to check her vitals. Nurse told her she couldn't go anywhere and she for sure couldn't drive.

Ginger, we need more information.... what do you mean by home health?.... that could cover a broad range of things.