The boys’ birth certificates were issued at the Army hospital. My daughter’s was issued by the U.S. Consulate in Liverpool, UK.
And they are citizens at birth by statute. To be clear, I am not saying that your children are ineligible for the presidency. I believe that children born abroad to those in military service should be eligible.
What I’m saying is that the State Department’s position is that there is no definitive ruling from the courts on whether or not those who obtain citizenship at birth by statute (as opposed to the 14th Amendment) are eligible for the presidency.
I also believe that SCOTUS would rule in favor of your children’s eligibility.