I have two children both born in the UK before 11th June 2017. I, their father, am a British citizen, their mother was a US citizen and we were not married.
Between the birth of the first child and the second, their mother was granted indefinite leave to remain.
At no point did their mother register their birth with any US authorities.
Accord to the website of the US State Dept (bottom section on Birth Abroad Out-of-Wedlock to a U.S. Citizen Mother), both of my children qualify to apply for US citizenship.
I am correct in my belief that they do not automatically have US citizenship?
Note: I am not asking for advice in seeking US citizenship for them, merely confirming their current status.