This is more than "full wage" for people with low incomes since it's an extra $31K/yr ($15/hr) on top of existing state unemployment benefits. It won't be more for higher incomes.
It's state managed, and we definitely have a huge surge of unemployment claims to process, so your family may not have benefits yet due to the backlog of claims. Also, states may have eligibility requirements which your family members don't meet. Which category do your family members fall into?
a) Have been denied unemployment
b) Are in the queue for unemployment, but haven't gotten it yet
c) Have unemployment, but it's less than their previous income
[0] https://en.wikipedia.org/wiki/Coronavirus_Aid,_Relief,_and_E...
[1] https://www.nytimes.com/article/coronavirus-stimulus-package...