It set out the rules on jurisdiction and the recognition and enforcement of judgments in matrimonial matters and in matters of parental responsibility for children of both spouses. (citizensinformation.ie)
(c) the exercise of parental responsibility for the child is governed by the law applying in the country of the new habitual residence. (legislation.gov.au)
If the child is under a care order, the local authority will share parental responsibility with the parents. (grandparentsplus.org.uk)