I babysit for a family on random occasions and I get paid $10 an hour. They have 3 kids and I run them to baseball/dance/swim class if needed. If they want to be taken for an outing their mom always leaves enough money to pay for their admission as well as mine. I would say that for a newborn who is at home and probably sleeping most of the time $10 an hour is enough. It's probably more than what she/he would be making working a part-time job somewhere.
Re: Babysitter rates