Thank you for your follow up.
Generally, both parents have equal child custody rights, unless otherwise is established / ordered by the court, so either parent can keep the child in his/her house and if that happens, the only way to address such issue would be for the aggrieved parent to file a petition with the local family court to establish child custody / visitation and also to ask the court to award physical residential custody of the minor child.
So, it is extremely important for the mother in such situation to consult and hire a local child custody law attorney to represent her in the child custody establishment / parenting plan process, since the father has an attorney representing him, and show should the mother, so mother's custodial and legal interest are properly protected.
You can find an experienced and skilled local child custody law attorney by using this established and reputable attorney information / referral websites:
When, choosing a local attorney to represent you, it would be a good idea to choose someone who has a practice exclusively dedicated to child custody law, has at least 10 years of experience and handled similar matters and also regularly practices before the court located in the jurisdiction where your matter might be heard.
I wish you the best of luck!