Both my son and daughter were born in the same US Army hospital in Germany while my husband was stationed there and I was still a German citizen. Our son was born in 1963 and our daughter in 1970. When they were six weeks old we took them to the American Consulate in Munich (München) and my husband registered their birth with the American Consulate, and we received a Consulate report of birth of a US Citizen abroad which looked something like this.
We also received an American Passport for both of them.