Can my ex-spouse sign me up to be billed for childcare without my permission?
My ex and I have an order to split child care 50/50 for her work and education. She has gone and signed me up to be billed directly by the child care provider without my permission. She refuses to provide me her schedule of work and school. But the bills provide no information other than payment amount. 1. Is it legal for her to sign me up for a payment account without my signature? 2. What is my recourse if she decides to use the childcare for personal reasons and they bill me for half?
Under Rhode Island law, your ex-wife has no legal right to commit you to any payment agreement with the childcare establishment based on the family court order as you describe it.
The answer to your first question is "No." If she actually signed your name to a contract or to some other document to bind you to payment to the childcare provider without your authority or knowledge, then your ex-wife committed the crime of forgery and she can be prosecuted for that.
The answer to your second question is that your recourse is to take your ex-wife back to family court and file something such as a motion for credit for any monies you paid for one half of whatever time was spent on personal time rather than for work or education.
You will need to keep in mind that if you take your ex-wife back to court on the motion I suggest above then you will have the burden or proving by clear and convincing evidence that your wife used the child care for strictly personal purposes and that you overpaid as a result and should be entitled to a credit. You would likely have to prove when it was personal, how you know it was personal and what the personal activity was, how much was charged for that personal usage and how much you were overcharged for that personal usage on each occasion.