My mother and I care for my father with Parkinson's & Dementia. Where can we find respite resources in Atlanta, GA?

I'd go to the Georgia state website and type "aging" in the search box. From there you can find the Georgia version of the National Family Caregiver Support Program. Contact these folks and ask about local options for respite care. They can be a wonderful source of local information. If your area has an Area Agency on Aging, they also may be able to help.
Take care of yourselves, too. Good luck with this.
Carol