My name is ***** ***** I'd be happy to answer your questions today. I'm sorry to hear that this happened.
It really depends on whether the child was left home ALONE, or whether she was in the care of a family member or some other baby-sitter. Leaving a child with a sitter is fine, if not the best use of a non-custodial parent
's parenting time. Leaving a one-year-old home alone is child endangerment and you can not only seek an emergency change to the custody order, but you can get child services involved. That's a crime.
The judge has a lot of discretion when determining custody orders. If you bring in evidence that the father left the child home alone to go drinking, he will probably give you full custody. You can also ask that the father only be given supervised visitation
until he can prove that he is responsible and able to care for a child adequately. The judge will probably order him to take a parenting class (he'd have to do this anyway if he's charged with child endangerment). Also, he could be required to take a course on alcohol abuse or enroll in a program like AA if this incident is a sign of a larger problem.
Note that if he did have a sitter, you could ask that you be given right of first refusal on providing child care. Essentially, that means, whenever he has the child but cannot watch her personally, he would have to call you before leaving her with a third party. Some judges allow that if the two of you live close enough together to make it feasible.
It's important that you are 100% satisfied with my courtesy and professionalism. Thank you.