I work (as a second job) as an hourly employee and I do not get paid sick time. Has nothing to so with not being worthy, it has to do with how it works. I either work my shift or I don't get paid. Most people I know who work as hourly employees are the same. Actually, everyone hourly employee I know (where I know the details) is the same.
Every hourly job I have ever had, as long as it was full time, included paid sick days (and paid vacation days and sometimes, paid other days).
I actually did tell her I was raising the rates to $100 per week effective mon. I sent it home with her son....
She said he was an easy child. He is not. He does need one on one care and he has broken 2 baby gates and damaged a wall throwing toys. Just this morning he broke my sons new Christmas toy. I have never asked his mother for the money.
This child does not sound responsible enough to have something sent home with him. I would make another copy and give it directly to HER tomorrow, if they show up.
You are being paid 3.75 per hour, for a child who is inflicting quite a bit of damage on your property.
If you do not want him in your care anymore, when she pulls up, do not answer the door, or step all the way outside and tell her so.
You are providing a service you are not this persons employee. That's like paying your hair cutter when they don't cut your hair because they are sick.
There are PLENTY of daycare situations that have that in the contract. You paid a certain amount of money to have those days available, and it doesn't matter if you don't take advantage of it, or can't take advantage of it b/c of illness. The spot is saved for your child, and you pay for that.
OP, honestly, I'd make SURE that your contract says what you mean it to say. I'd find a lawyer and pay them for the hopefully short amount of time it will take to make sure that it says what you want it to say, and have that for the future. I don't know the time period of the contract you do have with this woman, but when that time runs out, I'd give her the new one, if her son is still in your care.