inglés al español Jurídico/Patentes Ciencias sociales, sociología, ética, etc. US Birth Certificate

This is written/engraved at the top of a California Certificate of Live Birth and it is standard letterhead for vital records, which include birth, death, fetal death, still birth, marriage and divorce. It is part of the stationery design's white and blue border. Since this translation is for Spain I thought it would be appropriate to translate it as “Certificación del Registro Civil.” But I now have my doubts because "Registro Civil" refers to a location where records are kept while "Vital Record" is a type of record. So I thought I should translate it as something like “Certificación de Inscripción en el Registro Civil” but that seems too long. Also, since the phrase is part of the letterhead and refers to a "vital record" that is kept in the Office of Vital Records, I think that “Certificación del Registro Civil” could work too. And if I use the latter, should it be “Certificación del Registro Civil” or “Certificación de Registro Civil”? Any ideas? What would be most appropriate regardless of length? As always, the dilemma is, do you serve the source culture or the target culture? I'd appreciate your suggestions. Thank you!