I agree w/you OP that showing up to work today would be fruitless.
And shame on your employers for firing you so late!
It was just dumb luck that you fell ill so early into the position.
However if you are sick, you are sick & it is no one’s fault.
Why should you be penalized for something that is entirely out of your control......??!
How very unfair.
Plus ALL families should have an emergency back-up childcare plan in place.
It is THEIR responsibility.
If they have not put together a Plan B then that is totally their fault!
OP, be glad that you are seeing true colors now.
And I wish you only the best w/your next family.