Fathers rights

And he doesn't want to care for the baby but wants

Yes, he wants to send money - which the mother seems not to want to accept.

And I have sincere doubts that an expert in American citizenship issues knows more about German family law than people here.

https://en.wikipedia.org/wiki/Birthright_citizenship_in_the_United_States#Children_born_overseas_out_of_wedlock

Children born overseas out of wedlock[edit]
There is an asymmetry in the way citizenship status of children born overseas to unmarried parents, only one of whom is a U.S. citizen, is handled.

Title 8 U.S.C. § 1409 paragraph (c) provides that children born abroad after December 24, 1952 to unmarried American mothers are U.S. citizens, as long as the mother has lived in the U.S. for a continuous period of at least one year at any time prior to the birth.

8 U.S.C. § 1409 paragraph (a) provides that children born to American fathers unmarried to the children's non-American mothers are considered U.S. citizens only if the father meets the "physical presence" conditions described above, and the father takes several actions:

Unless deceased, has agreed to provide financial support to the child until he reaches 18,
Establish paternity by clear and convincing evidence and, while the person is under the age of 18 years
the person is legitimated under the law of the person’s residence or domicile,
the father acknowledges paternity of the person in writing under oath, or
the paternity of the person is established by adjudication of a competent court.
8 U.S.C. § 1409 paragraph (a) provides that acknowledgment of paternity can be shown by acknowledging paternity under oath and in writing; having the issue adjudicated by a court; or having the child otherwise "legitimated" by law.
Because of this rule, unusual cases have arisen whereby children have been fathered by American men overseas from non-American women, brought back to the United States as babies without the mother, raised by the American father in the United States, and later held to be deportable as non-citizens in their 20s.[11][12] The final element has taken an especially significant importance in these circumstances, as once the child has reached 18, the father is forever unable to establish paternity to deem his child a citizen.[13]

This distinction between unwed American fathers and American mothers was constructed and reaffirmed by Congress out of concern that a flood of illegitimate Korean and Vietnamese children would later claim American citizenship as a result of their parentage by American servicemen overseas fighting wars in their countries.[14] In many cases, American servicemen passing through in wartime may not have even learned they had fathered a child.[14] In 2001, the Supreme Court, by 5–4 majority in Nguyen v. INS, first established the constitutionality of this gender distinction.[11][12]

Once more German family laws have almost nothing to do with the rights of the child on reaching 18 years of age to be able to claim American Citizenship if she would care to do so by way of her American father.
[...]
That right is govern by American laws not German laws and something her father had express an interest in doing.

But since the child is born here, the mother is German, the child is German, both live here ...

What I really don't get:
- this dual-citizenship is the easiest thing, done within days (if the consulate/consulate department of the embassy works fast. There are no difficulties from any German side,

Once more I am talking about protecting the rights of the child to decide for herself at some future date to be able to claim American citizenship by way of her father and if she does so American laws not German laws would apply.

But that can be done without him being officially and legally the father in the USA?
Would have rather no effect at all here.

Walter, it works differently here. This has nothing to do with the fact that the mother and child are German. If an American agrees without evidence that he is this child's father and voluntarily begins sending support, the German mother can sue from Germany for additional support, inheritance rights and any other thing she feels her baby is entitiled to.

Personally, with her leaving abruptly after announcing a pregnancy and intent to have an an abortion, then suddenly showing up with a suspicious story about not notifying him until the child is three months old because of 'health concerns' smacks of fraud to me. Germany doesn't have to worry about the legality of the child's citizenship. As an American, I don't want to see a young American man being duped into supporting a child that may not exist, and is probably not his biologically.

If Germany is fine with a blank space for the paternity portion of the birth certificate, she can seek help from her Government. She waited about a year to decide to re-connect as friends, and she 'claims' she doesn't want money? Frankly, I think what she has done is very cruel, and I hope the supposed father gets solid advice.

Frankly, I think what she has done is very cruel, and I hope the supposed father gets solid advice.