I'm feeling similar. I have a child with ASD and LD, so I know how it feels to juggle caring and work, navigating the care system for your child and run a home.
Work has been particularly bad though lately and I just feel dead behind the eyes and unable to concentrate. I'm irritable, cry pretty much every day and just can't connect with my kids. I've worked full time all along with young kids and it has taken its toll on me and my partner. My work at home is never done either. Just so tired, disconnected and cynical. I have felt like this for years, but keep telling myself I'm a lightweight and nobody has died. Is this burnout? I just feel totally soulless.
I work for NHS and a of the threads on here about burnout seem to be posted by NHS workers. There is a theme! They are trying to make me present something soon when I have told them it gives me panic attacks even with beta blockers, and I have had CBT for anxiety and panic this year. Unbelievably I work for a mental health trust too. So I'm now overwhelmed this weekend with how I am going to tell them no and not relaxing. I have just got to the point where I am just absolutely fuming with them as I've been telling them for ages that my workload gets unmanageable and they have done nothing about it. I like my team and don't want to leave them in the shit by leaving, but at the same time they want more from me than I can give and they do nothing to really help me either. I'm at the stage though where I feel so tired and dead inside, even sitting in an interview is utterly terrifying.
Sorry about getting the violins out, but just wanted to tell you that you're not alone as is is very isolating having a disabled child and feeling exhausted. I hope you feel better soon OP. Is it work that is the issue, managing your child's care or just everything all at once? Does your child sleep?
I have got to the stage where I feel I have to push back with work as something has to give, and if that doesn't work I will just get another job or take time off. Even my son's consultant has told me I am burnt out. My family are saying the same too.