Need advice!

I suppose you could keep a can of Raid in your car and spray your shoes before you get in, even put your shoes in a bag before you get into the car.

However, a good nontoxic roach killer is good ol' 20 Mule Team borax, ten bucks a big box at your grocery store. Sprinkle it in your car, around floorboards, in rugs and upholstered furniture, and in kitchen cabinets. It is not poisonous to people or pets and your great-grandmother used it every spring to kill carpet beetles and silverfish. I use it every spring to keep my house free of fleas all year (the cats bring them in). Scuff into the rugs, under the sofa cushions and such, and broom it around the cracks and baseboards, and leave it for four or five days. Then you can vacuum normally. Or not, as the case may be. Repeat next March or April and q6 months. Perhaps your client would appreciate this knowledge. Bring a box and tell them it will help.

Only precaution: Cover any electronics to protect them from the dust while you're brooming it and scuffing it around.

The mom says she tries, she has gotten professionals in but she sits around plays on her phone.

Sounds like you do private duty nursing, not home health nursing. Home health nurses do visits, PDN is shifts.

Its a health issue. If she's in an apartment or rental, the owner is responsible. If she owns, she is responsible. Notify your supervisor and the case manager. Its not a healthy work environment and its not healthy or safe for the kid. I've seen roaches crawl towards trachs. Sometimes even agencies will pay for an exterminator. Some agencies set aside money for things like this if the family can't afford it.