An employee requested to work remotely as an accommodation so they can be home with a child who is disabled. Do we have to provide this accommodation under the ADA?

No, the Americans with Disabilities Act (ADA) doesn’t require that employers provide accommodations to employees because they have a family member who is disabled. You’re only required to provide an accommodation under the ADA when the employee themselves has a qualifying disability and if doing so wouldn’t cause an undue hardship (i.e., something that would require significant difficulty or expense).