Is it fair that if an American women gives birth to her daughter in Iceland?

Is it fair that if an American women gives birth to her daughter in Iceland, she will be arrested and imprisonment by Icelandic police if she tries to take her child outside Iceland (to the USA) before her daughters 18 birthday? The father of the child is a citizen of Iceland. When her daughter turns 18 her daughter can travel to the United States for the first time but her American mother cannot for her to.
Answers

Lisa A

None of that is true. But in nations that are signatories to the Hague convention on international child abduction, a parent must have the other parent's permission, or a proper court order to remove a child from a country.

Bela

If a foreigner comes to the US and has a child with a US citizen and then that foreigner tries to leave the US with the child against the wishes of the US citizen, who has a custodial right, and with every reason to believe that the US citizen will be deprived of custody or visitation of that child, the US court will rule that the child must stay in the US and require any passport to be relinquished. That's because the child is a US citizen and the non-citizen mother is trying to circumvent the courts and take custody of the child away from the US citizen parent. This happens even within states. A mother with custody will try to move from Indiana to California, and a judge will rule that she cannot take the child to California because of the father's right to visitation.

Rona Lachat

Do you think it is a fair a child has no right to be with its Father? It is possible for the child to go back and forth and be part of the time with each parent. The parents can decide that the child lives mainly in place A for example the school year and goes to place B when there is school break. If PARENTS cannot agree to where child should live then the courts get involved and make the decision. The Child has TWO parents. they both have a right to raise THEIR child. These laws are not special to Iceland. During the last few years, the Icelandic government has largely favored the protection of children’s rights and has implemented numerous protective measures, placing the best interests of the child at the heart of its decisions concerning them. A child has the right to a relationship with BOTH of its parents even if they are separated. A mother is obliged to declare the paternity of her child if she is neither married, nor in a registered cohabitation. Parents have the duty to protect their children against mental and physical abuse and other menaces. Parents shall instill in their children a spirit of industry and morality, provide them with the education required by the law, and to the best of their ability contribute to the education of their children and see to it that their children receive vocational training in accordance with the children's abilities and interests. Parents shall consult with their children before making decisions concerning their children's personal affairs. The position and view of the child shall be given more importance as the child grows older and matures.