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The Philosophy of Law: Private Right, § 29: The Rights of the Parent

From the Duty thus indicated, there further necessarily arises the Right of the Parents to THE MANAGE MENT AND TRAINING OF THE CHILD, so long as it is itself incapable of making proper use of its body as an Organism, and of its mind as an Understanding. This involves its nourishment and the care of its Education. This includes, in general, the function of forming and developing it practically, that it may be able in the future to maintain and advance itself, and also its moral Culture and Development, the guilt of neglecting it falling upon the Parents. All this training is to be continued till the Child reaches the period of Emancipation (emancipatio), as the age of practicable self-support. The Parents then virtually renounce the parental Right to command, as well as all claim to repayment for their previous care and trouble; for which care and trouble, after the process of Education is complete, they can only appeal to the Children by way of any claim, on the ground of the Obligation of Gratitude as a Duty of Virtue.
From the fact of Personality in the Children, it further follows that they can never be regarded as the Property of the Parents, but only as belonging to them by way of being in their possession, like other things that are held apart from the possession of all others and that can be brought back even against the will of the Subjects. Hence the Right of the Parents is not a purely Real Right, and it is not alienable (jus personalissimum). But neither is it a merely Personal Right; it is a Personal Right of a real kind, that is, a Personal Right that is constituted and exercised after the manner of a Real Right.
It is therefore evident that the Title of a Personal lliyht of a Real Kind must necessarily be added, in the Science of Right, to the Titles of Real Right and Personal Right, the Division of Rights into these two being not complete. For, if the Right of the Parents to the Children were treated as if it were merely a Real Right to a part of what belongs to their house, they could not found only upon the Duty of the Children to return to them in claiming them when they run away, but they would be then entitled to seize them and to impound them like things or runaway cattle.