if residential custody is transferred to the other parent can the children still attend the school they were going to?

Most state boards want the children to live in the district. If the child is from out of district, then the
board charges tuition for the children. Your daughter would be wise to check with her local board about
what the rule is or she might be fined up the gazoo.
On my profile there are several legal guides. I recommend reviewing the following which may be helpful to you:


Hiring a lawyer; Is it Legal? Is it Illegal?...Understanding the different court systems;
Introduction to Legal terms used in litigation; Limitations on a Lawyer’s License: What a Lawyer Can and Cannot Do……………………………..…………………………..

Divorce in General and How It's Handled in New Jersey
Financial Dos and Don'ts after a Divorce (written by Attorney Gabriel Cheong)
US law on parental kidnapping: Please see 28 USC s. 1738……………………

LEGAL DISCLAIMER…………………………………………………………………..
Mr. Sarno is licensed to practice law in NJ and NY. His response here is not legal advice and does not create an attorney/ client relationship. The response is in the form of legal education and is intended to provide general information about the matter in question. Many times the questioner may leave out details which would make the reply unsuitable. Mr. Sarno strongly advises the questioner to confer with an attorney in their own state to acquire more information about this issue.

The short answer is "yes" Generally , a child can go to school in any district in which a parent resides