My daughter has just turned 16. My husband says I am also supposed to contribute to supporting her financially. We are both Jewish. Is he right?

Possibly - this will depend on your relative incomes. Under Jewish law, once a child is over the age of 15, the burden of supporting them no longer falls solely on the father's shoulders. It is shared between the parents,depending on their relative incomes. If you do not work, or do, but have a low income compared to your ex-husband, then he will still be liable for all or most of the burden of supporting your daughter. If, however, you have a reasonable salary, you will be obliged to participate in supporting her financially.