Hi,
Looking for some perspective...
I'm a lone parent to DD (2). I have an amazing mother who I pay a salary to in a relaxed arrangement where she gave up work when DD was born and helps out but it's mainly a Grandmother arrangement really.
She lives with us and DD goes to sleep with her a few nights a week and we just go with the flow.
DD spends most time with me and we cover each other for whatever commitments come up. It's a really happy arrangement, our house is full of laughter and it's in contrast to what it was like when DD was born and we lived in our own, it was lonely and a bit boring at times with only a baby for company...
I'm currently ill and whenever I am DM expects me to just get on with it whereas Id prefer if each of us is feeling poorly to be able to take ourselves off to bed and the other one pick up the slack - why struggle through when you don't have to? I try and make a point of doing this if DM is unwell I'll sit her down and put a box set on for her, get magazines and fruit, take care of everything and make plenty of tea 
We are not overwhelmed - I don't work as am now a silent partner in my businesses, and DD does 3 afternoons a week at nursery...
What do fellow OPs do when they are ill?