I am not sure that they have much of a case against her, if the story is correct and she set her boyfriends clothing on fire in a bathtub. I would say:
1. Arson is probably going to be hard to prove as a bathtub is a pretty safe place to burn something.
2. Contributing to the delinquency of her three children is hard for me to see too. Child endangerment or neglect would make more sense, but even that might be a reach with the cops in the house and the likely failure of the arson charge.
3. They probably have her on distruction of property.
4. Hard to know about resisting arrest since the article does not address that.
Again if the paper described what she did accurately, I could see her walking on the entire deal if the jury is willing to ignore the destruction of property charge.
Arson: the willful or malicious burning of property
Res ipsa loquitur