Can we claim my MIL as a dependent on our joint tax return if she lived with us the entire year but still owns her own home?

She receives a small pension (less than $500 annually) and around $12,500 annually in Social Security benefits. She is in her '80's and while she is not officially classified as disabled, she cannot live on her own due to a stroke affecting her memory, as well as poor hearing and vision. Also, if we are able to claim her as a dependent, can she still apply for homeowner tax credits on her property?