The Family Information Service does not hold information on nannies and babysitters. There is no legislation that nannies or babysitters must register with Ofsted, though some do.
You would employ a nanny / babysitter to care for children, usually in your own home. Information on employing a nanny and your legal obligations can be found on site such as Nannytax. A nanny can register with Ofsted as a home child-carer on the voluntary childcare register. Nannies cannot offer funded places for 2, 3 and 4-year-olds as they are not on the Ofsted early years register.