It depends, but based on the information you provided they may. You have answered that they met 3 of the tests( age, relationship, and living arrangements), but they also must require assistance with at least 2 activities of daily living.
Here is the full list, from Oklahoma Form 592:
1. "Is 62 years of age or older,
2. Requires assistance with at least two activities of daily living (ADL) as certified by a licensed health care provider,
3. Qualifies as a dependent, spouse, parent, or other relation by blood or marriage to the family caregiver, and
4. Lives in a private residential home and not in an assisted living center, nursing facility, or residential care home."