(1) I've realised that giving children the matronymic surname at birth is rare.
Patronymic
Definition:
(a.) Derived from ancestors; as, a patronymic denomination.
(n.) A modification of the father's name borne by the son; a name derived from that of a parent or ancestor; as, Pelides, the son of Peleus; Johnson, the son of John; Macdonald, the son of Donald; Paulowitz, the son of Paul; also, the surname of a family; the family name.
Example Sentences:
(1) Tom Jaine writes: Robert Carrier was born Robert Carrier MacMahon, but dropped the patronymic when in France after the war: "It sounds good in French and it looks well visually," he remarked.
(2) Several explanations are offered for this, including polyphyletism of surnames and the presence of Scandinavian patronyms in this population.
(3) The Handmaid's Tale tells the story of Offred – not her real name, but the patronymic she has been given by the new regime in an oppressive parallel America of the future – and her role as a Handmaid.