From PP link..
//A person may also have other rights which override housing and property law, depending on whether s/he is married, a civil partner, cohabiting and/or has children.//
//Married parents, parents who are civil partners, step-parents, or unmarried parents who are both the biological parents of a child can apply to a court for transfer of property or tenancies if this is for the benefit of children. A guardian of a child or anyone in whose favour a court has made a residence order can also do this.//
So how is that a No?