For what it’s worth, she was “quickly” released on bail (the article doesn’t say how quickly), and the prosecution is not seeking further jail time but rather for the mom to sign a “safety plan” (although not signing could indeed lead to a year of jail time).
Your point is correct, but “the kid has no parent at all” isn’t (currently) true.
Edit: just saw the body-cam footage of the arrest, and wow, they really didn’t seem to care at all about the fact that taking the mom to jail would leave the kids with no one to watch them, despite that ostensibly being the entire reason for the arrest.