INFO.
So, just for fun, I did the math on this. Obviously, I don't know where you live, but assuming it's the U.S., the federal minimum wage is $7.25.
So, $7.25x40=$290 15x($7.25x1.5)=$163.125 Total = $453.125 per week, gross.
That adds up to $23,562 yearly, gross.
Of the states with no minimum wage (i.e., use the $7.25 wage), Alabama, surprisingly, had the highest effective tax rate at that income.
I used https://smartasset.com/taxes/income-taxes#QlY5QiKpR3. I set the location as Montgomery, AL. I set the income and assumed a single person with only one personal exemption (head of household). I did not put anything into 401(k) contributions, &c.
The grand total, after taxes (federal, state, and local) and before any other expenses is $19,601.
I will freely admit that this is a worst-case scenario. In this scenario, your nanny is losing 16.81% of their income to taxes.
Do they have any out of pocket expenses with your children? Does your nanny ever pay for anything? Do you reimburse for expenses? I don't know how much she's making, obviously, but is her service worth enough to increase her pay so that she doesn't need to pick up extra shifts?