I've heard that some Alzheimer's facilities are offering night time care from 7 AM to 7 PM to give relief to caregivers. I can take care of Mother during the day with some outside help but nights are becoming impossible. She is 95 and I am 74. No other family.
The adult children get to sleep well knowing that their parents are being taken care of at 4 am when the elders get up and dress for (nonexistent) work and wait for the bus, and they impatiently wait at the LOCKED door! But at 9 am when the kids get there, they are fresh and well rested, and can take mom out for the day. :)
One of the best kept secrets is that other people can cook and clean for mom just as well as a blood relative, and that way you can ENJOY your time with mom instead of working so hard. And if you need a nap during the day, there is someone there to watch her. I know your mom would want you to keep having a life, even though she is elderly now. You can't function if you can't sleep.