Domestic staff visa - citizen status

I am trying to gather info on whether my family member would be eligible to apply for British citizenship or any other status. They were born in London,UK in 1987, her mother was working as a domestic staff and had such visa for a private household. They then left UK in 1987. Would she be eligible for anything immigration wise?

Simple answer is no, not based on what you have stated.

The person would have to find a visa they qualify for and apply and follow a qualifying route to indefinite leave to remain and then citizenship.

For your family member to have any citizenship benefit based on being born in the UK, they would have needed to either have lived for the first ten years of their life in the UK or to have met certain requirements to be registered as a British citizen before their 18th birthday.

As neither of these requirements have been met, there is no citizenship benefit to having been born in the UK. They would need to start their UK immigration journey just like any other non-UK citizen.