What age in the state of Alabama are parents no longer responsible for their children?
In Alabama, parents are responsible for their children's care and actions up to the age of 18. This also includes any property damage a minor child causes.
I'm not aware of any such law. In general in the US, parents are responsible for proving for their minor child. When the child is no longer a minor, the parents are no longer legally responsible. Nearly every state says the age of majority at 18, so parents can kick their 18 year old out if they want with no legal repercussions.