@Deerod13,
Hmm. In the US, generally you can't change work insurance unless it's an insurable event (say, a new baby) or during the open enrollment period, which is often at the end of the calendar year.
She's also, unfortunately, 3 years too young for Medicare.
Does your state have a marketplace under the Affordable Care Act? It might be costly for the time being but could be worth it to hold her until the open enrollment period at your stepfather's union.
Your stepfather should also speak up about the open enrollment period to the union. They have to have something like that, seeing as people's circumstances change all the time.
From the AHHCCSS acronym, I figured out you're likely to be in Arizona. Here's what I could find on Arizona and the ACA:
https://benefitoptions.az.gov/aca
Best of luck and good health to you and your family.