No, unless you also apply for naturalisation.
https://www.gov.uk/government/publicati ... le-version
Registration at the Home Secretary’s discretion – Section 3(1) application
There are some situations where we will normally register a child, which are set out below.
Children applying in line with parents
Children will come within this category if:
one parent is a British citizen or about to become one through registration or naturalisation
the other parent (if involved in the child’s life) is a British citizen or settled in the UK (“settled” usually means that the parent has indefinite leave to remain in the UK)
the child has been resident in the UK for the last 2 years - (if the child is under the age of 2 we can accept a shorter residence period, taking into account the age of the child)
the child is settled in the UK
both parents give their consent to registration (unless good reasons are provided)
there is no reason to refuse on character grounds.
Children with settlement and residence
Children will come within this category if:
the child has completed a period of lawful residence in the UK of more than 5 years
the child has been granted settled status in the UK, and held that status for at least 12 months
the child’s parents have completed a period of 5 years residence and are settled in the UK (“settled” usually means that the parent has indefinite leave to remain in the UK)
both parents give their consent to registration (unless good reasons are provided)
there is no reason to refuse on character grounds.
All advice comes from personal research and experience and should not be regarded as professional opinion.