"I am aghast that 4 sibs with dual income households and one child per would allow their mother to enter the Medicaid program."
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This is why we sometimes hear that raising children can be a thankless endeavor.
In 2010 I sold everything in CA and went to Portland to care for a couple/friends for 2 yrs.
I learned a lot.
Be careful of "caregivers' dementia"
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https://www.google.com/#q=caregivers+dementia+support+groups
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Also, "sundowner's syndrome".
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https://www.google.com/#q=sundowners+syndrome
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The husband, a retired WA state sheriff, was so bad off that one day he spray painted some dead backyard plants green.
And he would get downright nasty in the late afternoons (he was 6' 5"...I'm 5' 10").
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Best of Good Luck!
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ps BTW, I was paid nothing for my efforts/care. I even paid 1/3 of the food bill. I did it because I respected them.