She would not have been lying if she saw the name of a child named BHO2 on a birth index for the period 1960-1964. She would not have been able to inspect anything more, she would not have been able to tell you the maiden name of the mother or the date of birth from the index.
Ah, that explains some things. Maybe why Abercrombie originally said “It’s there, I’ll find it” and subsequently had to swallow his words.
Zactly ! She said nothing about the legal verifiability or any substantive info reflecting what actually appears on the precious document.